Stress Corrosion Cracking of the Drip Shield, the Waste Package Outer Barrier, and the Stainless Steel Structural Material Rev 00, ICN 00

ANL-EBS-MD-000005

April 2000

1. PURPOSE 
One of the potential failure modes of the drip shield (DS), the waste package (WP) outer barrier, 
and the stainless structural material is the initiation and propagation of stress corrosion cracking 
(SCC) induced by the WP environment and various types of stresses that can develop in the DSs 
or the WPs. For the current design of the DS and WP, however, the DS will be excluded from the 
SCC evaluation because stresses that are relevant to SCC are insignificant in the DS. The major 
sources of stresses in the DS are loadings due to backfill and earthquakes. These stresses will not 
induce SCC because the stress caused by backfill is generally compressive stress and the stress 
caused by earthquakes is temporary in nature. The 316NG stainless steel inner barrier of the WP 
will also be excluded from the SCC evaluation because the SCC performance assessment will 
not take credit from the inner barrier. Therefore, the purpose of this document is to provide a 
detailed description of the process-level models that can be applied to assess the performance of 
the material (i.e., Alloy 22) used for the WP outer barrier subjected to the effects of SCC. As 
already mentioned in the development plan for the WP PMR (CRWMS M&O 1999e), this 
Analyses and Models Report (AMR) is to serve as a feed to the Waste Package Degradation 
(WPD) Total System Performance Assessment (TSPA) and Process Model Report (PMR).

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2. QUALITY ASSURANCE 
Quality Assurance (QA) program applies to this AMR. All types of WPs were classified (per 
QAP-2-3) as Quality Level-1. CRWMS M&O (1999a, p. 7) in Classification of the MGR 
Uncanistered Spent Nuclear Fuel Disposal Container System is cited as an example of a WP 
type. The development of this AMR is conducted under activity evaluation 11017040 Long Term 
Materials Testing and Modeling (CRWMS M&O 1999b), which was prepared per QAP-2-0. 
The results of that evaluation are such that the activity is subject to the Quality Assurance 
Requirements and Description (QARD) (DOE 2000) requirements.

 9 
3. COMPUTER SOFTWARE AND MODEL USAGE 
3.1 COMPUTER SOFTWARE 
No software or computer codes were used in developing this AMR. Excel bundled with 
Microsoft Office version 97 was used to generate graphical representation of the tabular data 
using built in functions. 
3.2 MODELS 
3.2.1 SCC Threshold Model 
The concept of threshold stress intensity factor (KISCC or Kth) has been commonly used to assess 
the susceptibility of material to SCC. A description of this concept can be found in Jones and 
Ricker (1987, p. 145-163), and Sprowls (1987, p. 245-282). According to the threshold model, 
there exists a threshold value (KISCC) for the stress intensity factor such that no growth occurs in 
a pre-existing crack having a stress intensity factor less than the threshold value. Pre-existing 
cracks are usually caused by manufacturing processes (especially welding processes). The 
adaptation of the threshold model to Alloy 22 (the material to be used for the outer shell of the 
WP) requires the determination of (1) the threshold stress intensity factor for Alloy 22, which has 
been experimentally observed by Roy et al. (1998); and (2) the stress intensity factor for the 
given stress profile and pre-existing crack size in the WP. 
3.2.2 SCC Slip Dissolution/Film Rupture Model 
The theory of slip dissolution (or film rupture) has been successfully applied to assess the SCC 
crack propagation for light water reactors at high temperature. The description of the SCC model 
based on the theory of slip dissolution and film rupture can be found in, for example, Ford and 
Andresen (1988, pp. 798-800), and Andresen and Ford (1994, pp. 61-70). The adaptation of the 
slip dissolution model to assess the stress corrosion cracking capability of the WP outer barrier 
(Alloy 22) requires the determination of two parameters, A and n, in an equation which 
relates the crack growth rate to the crack tip strain rate. A mathematical formula that relates A 
to n for stainless steels is adopted for Alloy 22 to determine A from n. An upper bound 
value of 0.84 for n has been derived from SCC crack growth test results for Alloy 22 at 110oC 
and KI = 30 MPa (m)1/2 in a concentrated mixed salt environment for 1400 hours (DTN: 
LL000313105924.136). A lower bound value of 0.75 for n has been assumed. The validity of 
the bounding values for n will be verified from data generated during ongoing and planned test 
activities at LLNL and elsewhere.

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4. INPUTS 
4.1 PARAMETERS 
4.1.1 Material Properties 
The material properties are important to determination of the final weld residual stress. The 
material properties used in this evaluation for Alloy 22 are based on information provided in 
CRWMS M&O (1999c, Section 5.7, pp. 30-34). 
For the thermal analysis, the following material properties are used: 
Thermal Conductivity, k 
Specific Heat, c 
Density, . 
For the stress analysis, the following material properties are used: 
Coefficient of Thermal Expansion, a 
Youngs Modulus, E 
Poisson Ratio, . 
Density, . 
Yield Strength, Sy 
4.1.2 Welding Parameters 
In evaluating weld-induced stress, the effect of each weld pass was determined by simulating the 
heat being deposited by the welding process through an element heat generation (or input) rate 
that is applied over a prescribed time interval. The net heat input (Hnet in Joules/in.) can be 
calculated according to Equation (2.3) of DTN: LL000312705924.132 for given welding 
parameters including voltage (E), amperage (I), travel velocity of the heat source (v in in./sec.) 
and heat transfer efficiency (f1), i.e., Hnet = f1 EI/ .. The WP lids will be welded with the Narrow 
Groove Gas Tungsten Arc Welding (NG-GTAW) process utilizing hot wire feed (CRWMS 
M&O 1998, p. 11). For this type of welding process the amperage, voltage and average travel 
speed are, respectively, 330-335 A, 12.1-13.0 V and 8.0 in./min. (CRWMS M&O 1998, Table 7- 
1, p. 12). According to DTN: LL000312705924.132, the heat transfer efficiency for gas tungsten 
arc welding is 21-48%. 
4.1.3 Threshold Stress Intensity Factor KISCC 
Currently, the only existing source related to KISCC for Alloy 22 is the experimental work 
performed by Roy et al. (1998) at LLNL. Susceptibility to SCC of Alloy 22 was evaluated by 
Roy et al. (1998) using wedge-loaded precracked double-cantilever-beam (DCB) specimens in 
deaerated acidic brine (pH  2.7) at 90C. Duplicate samples of each material were loaded at 
four initial stress-intensity (KI) values ranging between 20 and 39 ksi (in)1/2 (or 22 and 43 MPa 
(m)1/2). The final stress intensity factor for SCC (Kf) was computed from the measured final 
wedge load and the average crack length. The final stress intensity factor Kf is taken to be the

 11 
SCC threshold value KISCC. In accordance with Table 1 of Roy et al. (1998), the Kf values for the 
eight Alloy 22 specimens are 27.96, 28.73, 28.78, 29.58, 29.66, 30.94, 31.98, and 32.39 ksi 
(in.)1/2 A normal distribution is assumed to calculate the mean value, (KISCC)M = 30 ksi (m)1/2 or 
33 MPa (m)1/2, and the standard deviation, (KISCC)s = 1.61 ksi (in.)1/2 or 1.77 MPa (m)1/2. KISCC 
is also assumed to be reasonably bounded by 4x(KISCC)s. 
4.1.4 Input for Slip Dissolution Model 
The A-n relationship (Ford and Andresen 1988, Figure 6), as mentioned below, is an important 
input for this model: 
A = 7.8 x 10-3 n3.6 
where the constant A has the unit of cm(s)n-1. 
The parameter n can be determined from the data for crack growth rate and crack tip strain rate 
(or applied stress intensity factor in the case of constant load). SCC crack growth test results for 
Alloy 22 at 110oC and KI = 30 MPa (m)1/2 in a concentrated mixed salt environment for 1400 
hours (DTN: LL000313105924.136) indicated an average crack growth rate of about 2.1 x 10-8 
mm/s. This input source resulted in a value of 0.84 for the parameter n of the slip dissolution 
model. 
4.1.5 Waste Package Design Dimensions 
The dimensions for the WP designs evaluated in this AMR are shown in Figure 1 and Figure 2. 
4.1.6 Laser Peening Data 
Residual stress in WP weld can be mitigated by the laser peening method. Measured data 
reported in DTN: LL000313305924.138 were used to construct the residual stress profiles in the 
WP weld after laser peening treatment. DTN: LL000313305924.138s data indicated that laser 
peening is capable of producing a compressive surface layer of about 60 mils (1.5 mm) with 
compressive stress in the range of 20 to 60 ksi for a one inch thick Alloy 22 plate. 
Residual stress in WP weld can also be mitigated b the induction heat annealing method. 
Residual stress due to induction heat annealing is not part of input but can be evaluated by the 
finite element analysis based on the induction heat annealing process to be applied to the WP, 
i.e., rapid local weld heat up at about 1,000 to 1,200C for short hold time (about one minute) 
followed by rapid cool down to < 500C in about 10 minutes (see Section 6.2.2.4). 
4.2 CRITERIA 
The following criterion applies to Stress Corrosion Cracking of the Drip Shield, the Waste 
Package Outer Barrier, and the Stainless Steel Structural Material (CRWMS M&O 1999d). 
The disposal container/WP shall be designed, in conjunction with the Emplacement Drift 
System and the natural barrier, such that the expected annual dose to the average member of the

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critical group shall not exceed 25 mrem total effective dose equivalent at any time during the 
first 10,000 years after permanent closure, as a result of radioactive materials released from the 
repository (CRWMS M&O 1999d) (section 1.2.1.3). 
4.3 CODES AND STANDARDS 
No codes and standards were used to perform the analysis or to develop the model for this AMR. 
5. ASSUMPTIONS 
The following assumptions were made to develop the models for this AMR: 
Assumption 1: 
Only the final closure welds of the outer barrier of the WP will be considered for performance 
assessment. This assumption is based on the following observations: 
1) The DS will be excluded from the SCC evaluation because stresses that are relevant to SCC 
are insignificant in the DS. The major sources of stresses in the DS are loadings due to 
backfill and earthquakes. These stresses will not induce SCC because the stress caused by 
backfill is generally compressive stress and the stress caused by earthquakes is temporary in 
nature. 
2) The 316NG stainless steel inner barrier of the WP will also be excluded from the SCC 
evaluation because the SCC performance assessment will not take credit from the inner 
barrier. 
3) Welds are the most susceptible to SCC because (1) welding procedure can produce very high 
tensile residual stress in the weld (2) pre-existing flaws due to fabrication and welding have 
much higher distribution in the weld than in the base metal and (3) metallurgical segregation 
and brittle non-equilibrium phases, susceptible to SCC, are present due to the rapid heating, 
melting, freezing and cooling cycle within weldments. All the welds with the exception of 
the final closure welds will be subjected to heat treatment to relieve the residual stress when 
the entire WP is heat treated before the loading of spent fuel elements. Since load and 
thermal stress are very low, without residual tensile stress SCC can not occur in annealed 
welds. 
These assumption(s) have been used in section 6.2.2. This assumption does not have to be 
verified because it reasonably bounds all other scenarios.

 13 
Assumption 2: 
It is assumed that embedded flaws will not grow into surface flaws due to lack of cyclic stress, 
and, thus, only outer surface-breaking flaws are of concern for performance. Since mechanical 
and thermal stresses are very small, embedded defect growth can only occur by fatigue (cyclic) 
loading and there are no cyclic stresses. This assumption is applicable in all subsections of 
section 6. 
Assumption 3: 
To characterize the uncertainty of the weld residual stress calculated by the finite element 
analysis, it is assumed that (1) the calculated residual stress is the mean (Sm); and (2) the 
residual stress has a normal distribution and bounded by (three standard deviations) of the 
mean. This assumption does not have to be verified because the cases that are not captured 
would not significantly impact the results. For the welds not subjected to any types of stress 
relief heat treatment (such as the weld in the outer closure lid of the original WP design), the 
uncertainty range within the two bounding stress at the inside surface of the closure lid is 
assumed to be 35% of the yield strength of the material (Mohr 1996, p. 37). For the thinner 
inner lid of the outer barrier of the improved design, however, the range of variation is assumed 
to be 20%. Better control of welding process for thinner welds give less uncertainty in stress. 
For welds that are subjected to induction heat annealing or laser peening (such as the dual lids of 
the outer barrier of the improved WP design), the range is assumed to be 5% of the yield 
strength. These processes are very well controlled and simpler than welding and therefore lead 
to less uncertainty. This assumption has been used in section 6.2.2. 
It was stated in Section 6.2.2.1 that, although the determination of weld residual stress for the 
WP welds is a three-dimensional problem, a two-dimensional axisymmetric modeling approach 
has been used for the finite element analyses of the weld residual stresses. The result of this 
assumption is that the stress is constant around the circumference. Klepfer (1975, Figure 9-95) 
indicated that the inside-surface residual stress for a 26 inch austenitic stainless steel pipe shows 
a sinusoidal distribution around the circumference with a range of about 5 ksi about the mean 
stress. This variation is assumed to be applicable to the residual stress around the circumference 
of the WP (see Section 6.2.2.5). 
Assumption 4: 
The KISCC value can vary in accordance with different environmental conditions. In the absence 
of more data needed for the assessment of the variability of KISCC, the values derived from Roy 
et al. (1998) under bounding environmental conditions (e.g., pH 2.7 and 90oC brine) for Alloy 
22 are conservatively assumed to be applicable to all Yucca Mountain conditions. This 
assumption has been used in section 6.3. 
Assumption 5: 
The model quantification processes for the slip dissolution model described in Section 6.4.3 for 
stainless steels are also conservatively applicable to Alloy 22, because, stainless steels are much 
more SCC susceptible than Alloy 22 is. Generally, this model applies to alloys that form passive

 14 
films. Both alloys, due to their structural similarity (i.e., both have face centered cubic crystal 
structure, and both give similar type of mechanical response to applied stress. However, due to 
lack of available data, the model quantification for Alloy 22 has to be developed on the 
following assumptions: 
(1) The relationship between A and n in the equation that relates crack growth rate to crack tip 
strain rate for stainless steels, with t V in cm/s and I K in MPa (m)1/2, is also applicable to 
Alloy 22, i.e., 
A = 7.8 x 103 n3.6 
(2) The characterization of the slip dissolution model is that the SCC susceptibility decreases 
with increased n value. For 304 stainless steel in 288oC water with 0.5 S cm-1 solution 
conductivity, Ford and Andresen (1988, Figure 7) indicate that n = 0.54 gives a good 
prediction for observed crack growth rate versus crack tip strain rate. Recent SCC crack 
growth test results for 22 at 110oC and KI = 30 MPa (m)1/2 in a concentrated mixed salt 
environment for 1400 hours (DTN: LL000313105924.136) indicates an average crack 
growth rate about 2.1 x 10-8 mm/s and suggested a value of 0.84 for n (Section 6.4.4). For 
conservative purpose, n = 0.84 will be considered to be the upper bound value for n. Since 
Alloy 22 is a more SCC resistant material than 304 stainless steel, a lower bound value of 
0.75 for n in the case of Alloy 22 has been conservatively assumed. 
It has been stated that both Assumptions 5-1 and 5-2 were made because of lack of available 
data. However, as stated in the text for Assumption 5-2, the assumption of a lower bound 0.75 
for n appears to be appropriate based on available data for stainless steel and knowing that Alloy 
22 is more SCC resistant that stainless steel. 
Assumption 5 has been used in section 6.4. It does not have to be verified because this approach 
is considered reasonably bounding. 
Assumption 6: 
A leak can occur if the crack grows through the section thickness providing a potential direct 
path for water migration from outside to inside of WP. The following assumptions are made to 
estimate the crack opening: 
1. A crack is either circumferential (perpendicular to the radial stress) or radial 
(perpendicular to the hoop stress) in the outer surface of the closure weld of the WP. 
2. According to Section 6.5.1, a circumferential crack is assumed to have a semi-elliptical 
shape with depth a and length 2c. The length of a circumferential crack is determined 
by an exponential distribution described by Equation 30. The aspect ratio c/a for a 
radial crack is assumed to be 1, i.e., a semi-circular crack (c = a). 
3. The crack length 2c of a circumferential crack remains unchanged but the final length 
of a through-wall crack is at least twice the wall thickness. Under this assumption, most 
cracks will grow in both directions of the minor (depth a) and major (length 2c) axes

 15 
and assume the semi-circular shape (i.e., a = c) when they become through-wall cracks. 
According to fracture mechanics (Ewalds and Wanhill 1984, Section 2.5, p. 43), a 
tends to grow faster than c because the stress intensity factor tends to have a maximum 
value at the end of the minor axis and a minimum value at the end of the major axis. So 
eventually a semi-elliptical crack will become a semi-circular crack. The crack length 
2c will remain unchanged only for very long cracks with initial crack length greater 
than twice the wall thickness. For such long cracks, the occurrence rate is usually very 
low. The length of a semi-circular crack will always be equal to twice the crack depth. 
4. The crack opening has an elliptical shape with length 2c and a crack opening or gap 
d. 
Assumption 6 has been used in section 6.5. This represents the most conservative bounding 
approach and does not have to be verified.

 16 
6. ANALYSIS/MODEL 
6.1 INTRODUCTION 
There are a number of corrosion-related causes for premature fracture of metal structural 
components under service loading and environment. One of the most common is the SCC. SCC 
is the initiation and propagation of cracks in structural components due to three factors which 
must be present simultaneously: metallurgical susceptibility, critical environment, and static 
tensile stresses. 
SCC is of great concern for corrosion-resistant alloys exposed to aggressive aqueous 
environments (Jones and Ricker 1987, pp. 145-146). Typically, the SCC of an alloy is the result 
of the presence of a specific chemical species in the environment. Thus, the SCC of copper 
alloys is virtually always due to the presence of dissolved ammonia, and dissolved chloride ions 
cause or exacerbate cracking in stainless steels and aluminum alloys. Changes in the 
environment parameters such as temperature, degree of aeration, and concentration of ionic 
species will normally influence SCC. 
The effects of stress on the propagation of SCC can be characterized by the stress intensity 
factor, KI. The definition and calculations of the stress intensity factor are described in 
Section 6.2. 
Two alternative models that deal with SCC can be found in the literature. Because of the critical 
functions to be performed by the WP. Both models will be used in TSPA. The first model, the 
Threshold Model, is based on the theory that below a threshold value (KISCC) for the stress 
intensity factor, no growth occurs in a pre-existing crack. Pre-existing cracks are usually caused 
by manufacturing processes (especially welding processes). This model is described in 
Section 6.3. 
The second model, the Slip Dissolution/Film Rupture Model, relates crack initiation from bare 
metal surface and the subsequent advance to the metal oxidation that occurs when the protective 
film at the crack tip is ruptured. The Slip Dissolution/Film Rupture SCC model is described in 
Section 6.4. 
Miscellaneous topics related to the application of both threshold model and slip dissolution 
model as well as the estimate of opening size of a through wall crack are addressed in 
Section 6.5. 
Calculated residual stresses and stress intensity factors for the original and improved WP designs 
as shown in Figures 1 and 2 are presented in figures in Section 6 and tabulated and graphical 
forms in Attachment I. Figures identified by DTN: LL000319805924.143 and DTN: 
LL000319905924.144 in Section 6 and tabulated and graphical presentations of Attachment I 
(DTN: LL000315905924.139, DTN: LL000316005924.140 and DTN: LL000316105924.141) 
were developed from supplier's input DTN: LL000316205924.142, a comprehensive data base 
presenting profiles of mean resdiual stresses and stress intensity factors and their ranges of 
uncertainty and variability developed from input information described in Section 4 and 
assumptions described in Section 5.

 17 
6.2 STRESS INTENSITY FACTOR 
6.2.1 Definition 
The stress intensity factor KI is usually defined as a function of stress (s) and crack depth 
size (a): 
KI(a, s) =  s (pa)1/2 (Eq. 1) 
where, 
 is a geometry factor dependent on the size and shape of the crack and the configuration 
of the structural component 
s is the tensile stress distribution through the wall thickness of the structural component. 
Closed-form solutions are possible only in some simple cases of uniform tensile stress and 
simple geometry. For example, in considering the classical problem of a single edge cracked 
plate with thickness h, it has been shown that  can be expressed by the following approximate 
formula (Ewalds and Wanhill 1984, p. 49): 
4 3 2 
h
a 
95 . 30 
h
a 
72 . 21 
h
a 
55 . 10 
h
a 
231 . 0 12 . 1  .. 
. .. . + .. 
. .. 
. - .. 
. .. 
. + .. 
. .. 
. - = 
In most practical cases where stresses are non-uniformly distributed across the thickness, the 
stress intensity factor has to be calculated by some numerical algorithms, such as the finite 
element method. Rice (1968, p. 381) has shown that path independent J-Integral taken over an 
arbitrary contour surrounding the crack tip is proportional to the square of the crack tip stress 
intensity factor KI. In accordance with Chan et al. (1970, p. 8), by numerically evaluating the 
J-Integral for the finite element solution over a path surrounding the crack tip, an estimate of the 
crack tip stress intensity factor can be obtained. 
6.2.2 Calculations of Stress Intensity Factors for WP Closure Welds 
Only the final closure welds of the outer barrier of the WP will be considered for performance 
assessment, based on the following assumptions and observations: 
1. The DS will be excluded from the SCC evaluation because stresses that are relevant to 
SCC are insignificant in the DS. The major sources of stresses in the DS are loadings due 
to backfill and earthquakes. These stresses will not induce SCC because the stress caused 
by backfill is generally compressive stress and the stress caused by earthquakes is 
temporary in nature. 
2. The 316NG stainless steel inner barrier of the WP will also be excluded from the SCC 
evaluation because the SCC performance assessment will not take credit from the inner 
barrier.

 18 
3. Welds are the most susceptible to SCC because (1) welding procedure can produce very 
high tensile residual stress in the weld (2) pre-existing flaws due to fabrication and 
welding have much higher distribution in the weld than in the base metal and (3) welding 
produces segregation and non-equilibrium brittle phases which induce susceptibility to 
SCC. All the welds with the exception of the final closure welds will be subjected to heat 
treatment to relieve the residual stress when the entire WP is heat treated before the 
loading of spent fuel elements. 
It is assumed that embedded flaws will not grow due to lack of cyclic stress, and, thus, only outer 
surface-breaking flaws are of concern for performance. 
Weld residual stress is the only type of stress for SCC concern. Other types of stresses are either 
insignificant (such as stress due to dead weight) or temporary in nature (such as stress caused by 
earthquakes). Stress and stress intensity factor due to weld residual stresses will be calculated for 
two different designs of the WP: the original design as shown in Figure 1 and the improved 
design as shown in Figure 2. For both designs, the outer barrier is made from Alloy 22 and the 
inner barrier is made from Type 316NG stainless steel. The improved design as shown in 
Figure 2 has incorporated several design features to minimize the tensile residual stress in the 
closure welds. The geometrical configuration is the result of a finite element optimum design 
process to give the most favorable stress distribution in the weld. The dual cover (or lid) concept 
has been adopted for the outer barrier to prolong the design life. The welds in both covers will be 
subjected to special stress-relief treatments with the weld in the outer cover treated by induction 
heat annealing and the inner lid by laser peening as discussed in Section 6.2.2.4.

 19 
Figure 1. Schematic and Dimensions for the Original WP Design

 20 
Figure 2. Schematic and Dimensions for the Improved WP Design

 21 
6.2.2.1 Stress Analysis 
Finite Element Model-Determining the weld residual stress requires a thermal analysis to 
determine the temperature history caused by the welding process and a subsequent weld residual 
stress analysis. This problem has been solved using finite element analysis methods. Although 
the determination of weld residual stress for the WP welds is a three-dimensional problem, it has 
been found that the use of two-dimensional axisymmetric modeling of the problem provides a 
reasonable estimate of the behavior. Thus, the WP closure weld models were assumed to be 
two-dimensionally axisymmetric about the WP axial centerline. 
The finite element model for the original design of the WP is shown in Figure 3. The dimensions 
for this model are shown in Figure 1. The weld geometry and immediate neighboring material 
are modeled in detail with sufficiently small elements to capture the large thermal and strain 
gradients associated with the weld pass application. The element sizes become larger with 
distance from the weld since the field variable gradients are significantly lower. 
Figure 3 shows the finite element model with all weld passes deposited and both lids in place. 
Material making up the individual weld passes is added to the model as each weld pass is 
simulated. This process continues until all weld beads (or groups of weld beads) are applied. 
Material Properties-The material properties are important to determination of the final weld 
residual stress. As indicated in Section 4.1.1, material properties used in this evaluation for Alloy 
22 are based on information provided in CRWMS M&O (1999c, Section 5.7). 
For the thermal analysis, the following material properties are used: 
Thermal Conductivity, k = 10.1 W/(m K) at 118oF (48oC) 
Specific Heat, c = 414 J/(kg K) at 126oF (52oC) 
Density, . = 8690 kg/m at 24oC (75oF) 
For the stress analysis, the following material properties are used: 
Coefficient of Thermal Expansion, a = 12.4 x 106 m/(m K) at 75oF (24oC) 
Youngs Modulus, E = 206 GPa at 75oF (24oF) 
Poisson Ratio, . = 0.278 
Density, . = 8690 kg/m at 24oC (75oC) 
Yield Strength, Sy = 372 MPa (54 ksi) at 24oC (75oF) 
Material properties at other temperatures are provided in CRWMS M&O (1999c, Section 5.7).

 22 
Figure 3. Finite Element Model for Original WP Design 
Thermal Analysis-A thermal analysis of the WP closure was performed to simulate the 
temperature history caused by each weld pass. Each weld pass will result in a different 
temperature field since as passes are applied, more material is added, residual stress from 
previous passes are being incorporated, and the relative location of the weld heat input is 
changing with respect to the lid thickness. 
The effect of each weld pass was simulated through heat generated in the finite elements which 
represent the weld pass and then transferred to the adjoining parts of the WP. The heat generated 
in the weld pass, represented by the net heat input (Hnet in joules/in.) of the welding process can 
be calculated according to Equation (2.3) of DTN: LL000312705924.132, Hnet = f1 EI/v, for 
given welding parameters including voltage (E), amperage (I) and travel velocity of the heat 
source (v in in./sec.) and heat transfer efficiency (f1). The WP lids will be welded with the NGGTAW 
process utilizing hot wire feed (CRWMS M&O 1998, p. 11). For this type of welding 
process the amperage, voltage and average travel speed are, respectively, 330-335 A, 12.1-13.0 
V and 8.0 in./min. (0.133 in./sec.) (CRWMS M&O 1998, Table 7-1, p. 12). The heat transfer 
efficiency (f1) for gas tungsten arc welding, according to DTN: LL000312705924.132, is 21- 
48%. Using the average values for E (12.55 V), I (332.5 A), v (0.133 in./sec.) and f1 (0.345) and 
adding 15% to the final result (to represent heat contributed by the filler material), the net heat

 23 
input is found to be 12,400 Joules/in. For the closure weld of the outer lid in Figure 5, the total 
heat input of each complete welding pass is Hnet L, where L (9.58 m or 377 in.) is the total length 
of the weld. 
For the axisymmetric representation of the three-dimensional problem, it is desired to convert the 
non-axisymmetric heat input into an equivalent axisymmetric heat input, which would be 
representative of what a typical point on the circumference of the weld would experience. Since 
a typical point on the circumference would experience essentially an impulse heat input (i.e., a 
large amount of heat input over a short amount of time) the heat input is represented by a 
triangular-shaped pulse over a two-second time interval (ramp up in one second and ramp down 
in one second) followed by a cooling period. The length of cooling period after the deposit of 
weld beads is determined by the time required for the weld torch to travel around the 
circumference of the closure weld. 
Weld Residual Stress Analysis-The stress analysis is performed for all individually modeled 
weld passes. For example, if six weld passes are being modeled, then six thermal stress analyses 
are performed. The analysis of Weld Pass 1 uses the temperature history for Weld Pass 1 thermal 
analysis and begins from the stress state caused by the shrink-fit of the two cylinders. The 
analysis of Weld Pass 2 uses the Weld Pass 2 thermal analysis and uses the residual stress due to 
Weld Pass 1 as the initial condition. This process continues until all weld passes are analyzed. 
The final solution (at ambient conditions) is the room temperature weld residual stress. 
Results of the weld residual stress analysis are presented at cross-sections 1-4, A-F shown by 
Figure 4. The results presented in Figures 5 through 10 correspond to the radial, longitudinal, and 
hoop stress components of the residual stresses for the inner and outer lids at 257F (125C). 
6.2.2.2 Stress Intensity Factor Calculations 
For the WP closure welds, the flaw orientations most likely susceptible to crack propagation are 
those of a circumferential flaw (parallel to weld) and a radially oriented flaw (perpendicular to 
weld). Figure 11 shows the flaw orientations with respect to the weld. A radially oriented flaw 
would be potentially driven by hoop stress. A circumferentially oriented flaw would be driven by 
radial stress. 
A general form of the stress intensity factor can be expressed by Equation 1, i.e., 
KI =  s (pa)1/2

 24 
Figure 4. Selected Cross-Sections for Original WP Design 
As indicated in Section 6.2.1,  is a geometry factor dependent on the size and shape of the crack 
and the configuration of the structural component, and s is the stress distribution through the 
wall thickness of the structural component. Closed-form solutions of Equation 1 are possible 
only in some simple cases of uniform tensile stress and simple geometry. 
Although finite element program can be used to evaluate the stress intensity factor (see Section 
6.2.1), the effort is usually quite time consuming because a series of elaborate finite element 
analyses must be completed for numerous crack sizes starting from 0 through the thickness of the 
containment wall.

 25 
DTN: LL000319905924.144 
Figure 5. Radial Stress, Inner Lid @ 125C 
DTN: LL000319905924.144 
Figure 6. Longitudinal Stress, Inner Lid @ 125C

 26 
DTN: LL000319905924.144 
Figure 7. Hoop Stress, Inner Lid @ 125C 
DTN: LL000319905924.144 
Figure 8. Radial Stress, Outer Lid @ 125C

 27 
DTN: LL000319905924.144 
Figure 9. Longitudinal Stress, Outer Lid @ 125C 
DTN: LL000319905924.144 
Figure 10. Hoop Stress, Outer Lid @ 125C 
Initial WP, Outer Lid, 125C 
-25 
-15 
-5
5 
15 
25 
35
0 0.5 1 1.5 2 2.5 3 
Distance From Inside Surface (in) 
1-1 
2-2 
3-3 
4-4 
Initial WP, Outer Lid, 125C 
-10
0 
10 
20 
30 
40 
50 
60
0 0.5 1 1.5 2 2.5 3 
Distance From Inside Surface (in) 
1-1 
2-2 
3-3 
4-4

 28 
for Lid Welds 
Figure 11. Flaw Orientation for Lid Welds 
A simplified solution was developed by using fracture mechanics to evaluate the parameter 
(KI)PCCRACK. Then a geometry correction factor, G, which is usually a function of the crack size 
a, was evaluated from the results of finite element analysis. Finally, the true stress intensity 
factor KI was derived from (KI)PCCRACK and G using the following relationship: 
( )PCCRACK I I K G K = (Eq. 2) 
For a circumferential flaw (KI)PCCRACK was derived from a single edge cracked plate (SECP) 
with an infinitely long flaw. For a radial flaw (KI)PCCRACK was derived from an elliptical surface 
crack in an infinite plate with a crack aspect ration of 0.5 (a semi-circular crack). In either case, 
the stress distribution was calculated by using a third order polynomial of the type represented by 
equation 4. The model of a circular crack in an infinite plate is a better representation of a radial 
crack in the closure weld than an infinite crack in a SECP. It is judged that a radial crack in the 
closure weld would not grow into a long semi-elliptical crack due to the rapid decay of hoop 
stress in the radial distance away from the weld and base metal interface (see Figure 10). 
The stress intensity factor for an SECP with an infinitely long flaw is (Buchalet and Bamford 
1976, Equation 2, p. 388): 
( ) 
. .
.
. 
. .
.
. 
p 
+ . .
.
. 
. .
.
. 
+ .. 
. .. 
. 
p 
+ p = 4 3 
3 
3 2 
2 
2 1 1 0 SECP I F A 
3
a 4 
F A 
2 
a 
F A 
a 2 
F A a ) K ( (Eq. 3) 
Top View 
of Lid 
Circumferential 
Flaw (Parallel to 
Weld) Radial Stress 
is Driving Force. 
Radial Flaw (Perpendicular 
to Weld) Hoop Stress is 
Driving Force. 
Weld

 29 
where F0, F1, F2, and F3 are magnification factors and A0, A1, A2, A3 are coefficients of the 
third-order polynomial fit of the through-wall stress distribution (or profile): 
s = A0 + A1x + A2x2 + A3x3 (Eq. 4) 
where x is the distance from the outer surface of the closure lid. 
The magnification factors F0, F1, F2, and F3 are functions of the crack depth (a) versus 
thickness (h) ratio (a/h) and are graphically presented in Buchalet and Bamford (1976, 
Figure 6), which are converted into digitized look-up tables for calculating the stress intensity 
factor. 
The SECP stress intensity factor is for the ideal geometry and must be modified by the geometry 
correction factor G to consider the actual geometry. Figure 12 shows the G factor distribution in 
the closure weld of the outer lid of the WP as a result of curve fit based on the exact G values 
calculated at four discrete points corresponding to crack-versus-thickness ratios of 0.2, 0.3, 0.4 
and 0.6. Figure 12 indicates that, for shallow flaws, the correction factor is near 1. For deeper 
flaws, the correction becomes significant, and using the SECP solution would be very 
conservative. Figure 13 shows both the simplified SECP solution and the scaled final solution of 
stress intensity factor for a circumferential flaw started at the outer surface of the outer lid of the 
original WP design. Figure 14 shows the stress intensity factor for a radial flaw started at the 
outer surface of the outer lid of the original WP design. The simplified solution was obtained 
from a fracture mechanics crack model which contains a semi-circular surface flaw in a flat plate 
and is judged to be close to the final solution. Therefore, the geometrical correction factor is 
assumed to be equal to unity for the case of radial crack. 
The calculated stress intensity factor versus crack depth curves for the improved WP design are 
presented in Attachment I.

 30 
DTN: LL000319905924.144 
Figure 12. Outer Lid Circumferential Flaw Geometric Correction Factor 

 31 
DTN: LL000319905924.144 
Figure 13. Stress Intensity Factors for Circumferential Flaw in Outer Lid

 32 
DTN: LL000319905924.144 
Figure 14. Stress Intensity Factor for Radial Flaw in Outer Lid

 33 
6.2.2.3 Impact of Corrosion 
The results presented in Section 6.2.2.2 were performed for the as-built condition. Thus, the full 
thickness for all the waste package components was used. In order to simulate the effect of wall 
thinning caused by general corrosion, a layer of elements from the outside surface of the outer lid 
was removed. The thickness of this layer is 0.125 inch, which is equivalent to the removal of 
12.7% of the wall of the outer lid. The general corrosion rates are very low for the Alloy 22 
material. The rate at the 50th percentile is approximately 0.05 m/year and the maximum rate 
0.731 m/year based on the 6-month and 12-month data (DTN: LL991208505924.099). The 
0.125-inch removal is the amount of material subject to general corrosion in 4,300 years (at the 
maximum general corrosion rate of 0.731 m/year) or 63,500 years (at the 50th percentile general 
corrosion rate of 0.05 m/year). More recent data representing 24 months of exposure (DTN: 
LL991208505924.099) indicated that the corrosion rates are much lower, i.e., the mean corrosion 
rate is 0.01 m/year and the maximum rate is 0.07 m/year. 
This can be simulated using a computer program by assigning a death status to the elements 
which comprise the outer row. Since these elements contributed to the equilibrium state, removal 
of these elements causes a redistribution of the stress pattern. Analysis of stress redistribution 
corresponding to the new equilibrium condition can be accomplished using a computer program. 
Figure 15 shows the row of elements which was removed to simulate the general corrosion of the 
outer lid surface. Figures 16 and 17 show, respectively, the through-wall radial stress profiles 
(with and without corrosion effects) and hoop stress profiles at Section 1-1 in Figure 15. These 
results demonstrate the redistribution of the residual stress. In general, stress appears to be not 
very sensitive to the effects of corrosion. 
Figures 18 and 19 show the stress intensity factor distribution for Section 1-1 in Figure 15 for 
circumferential and radial cracks. These figures show the stress intensity factor as a function of 
distance from the outside surface and normalized distance from the outside surface. These 
figures demonstrate that the overall effect of general corrosion is small. 
6.2.2.4 Mitigation of Weld Residual Stress 
Stress is one of the three basic factors that cause initiation and propagation of cracks in structural 
components due to stress corrosion cracking. The other two factors are metallurgical 
susceptibility and environment. SCC can be reduced to a manageable state if the weld residual 
stress in the WP can be effectively mitigated. 
Weld residual stress can be mitigated by optimizing the geometrical configuration of the WP 
design. Residual stress can also be mitigated through specially designed weld processes, such as 
narrow-groove and other low heat input welding processes as well as spray cooling of final 
weld passes to produce compressive outer surface stress. 
For the final closure welds of the WP, special localized stress-relief treatments can be applied 
without heating the spent fuel elements within the WP. As indicated in Section 6.2.2, two such 
types of treatments will be used for the improved WP design. The first treatment, (which will be 
used for the outer lid of the outer barrier, involves use of induction heating coils to effect a

 34 
localized annealing of the weld region. The induction heat annealing process to be applied to the 
WP includes rapid local weld heat up at about 1,000 to 1,120C for short hold time (about one 
minute) followed by rapid cool down to <500C in about 10 minutes.

 35 
DTN: LL000319805924.143 
NOTE: (a) Finite element model 
(b) Sections for stress profile 
Figure 15. Finite Element Model Used for Study of Corrosion

 36 
DTN: LL000319905924.144 
Figure 16. Effect of Corrosion on Radial Stress in Outer Lid 
DTN: LL000319905924.144 
Figure 17. Effect of Corrosion on Hoop Stress in Outer Lid

 37 
DTN: LL000319905924.144 
NOTE: (a) X-axis is crack depth in inches. 
(b) X-axis is shown as the ratio of crack depth (a) vs. thickness (t). 
Figure 18. Stress Intensity Factor for Full-Circumference Flaw in Outer Lid

 38 
DTN: LL000319905924.144 
NOTE: (a) X-axis is crack depth in inches. 
(b) X-axis is shown as the ratio of crack depth (a) vs. thickness (t). 
Figure 19. Stress Intensity Factor for Radial Elliptical Crack in Outer Lid

 39 
The second treatment, which will be used for the inner lid of the outer barrier, involves use of the 
laser peening process, where a high powered laser beam introduces shock pulses on the material 
surface. Laser peening is similar to the traditional shot-peening procedure but is a much 
improved technology. For laser peening, the intense stream of tiny metal or ceramic balls used in 
the traditional shot-peening is replaced by high-energy lasers with pulse lengths in the tens of 
nanoseconds, short enough to generate a rapid yet energetic shock. This process can produce an 
uniform layer of highly shocked and compressed material that is extremely resistant to cracks 
and corrosion. 
According to measured data (DTN: LL000313305924.138), laser peening is capable of 
producing a compressive surface layer of about 60 mils (1.5 mm) with compressive stress in the 
range of 20 to 60 ksi for a one inch thick Alloy 22 plate. The depth of stress reduction may be 
increased by repeated application of laser peening. A typical example is shown in Figure 20 for 
stress profiles at the weld center line for stress component 1 (S1, parallel to the weld center line) 
and stress component 3 (S3, perpendicular to the weld center line) before and after laser peening. 
To demonstrate the effect of laser peening on the stress intensity factor, the weld induced 
residual stress in the outer lid of the original design was reduced from tensile stress to 40 ksi 
compression stress for a depth of 0.06 in at the outside surface (see Figure 21). The residual 
stress then varies linearly from 0.06 in. to 0.12 in. From this point on, the stress remains 
undisturbed. The stress intensity factor was calculated for the reduced stress profile and 
compared to the stress intensity factor previously calculated for the original stress profile as 
shown in Figure 22. 
6.2.2.5 Uncertainty and Variability of Residual Stress and Stress Intensity Factor in WP 
To characterize the uncertainty of the weld residual stress calculated by the finite element 
analysis, it is assumed that (1) the calculated residual stress is the mean (Sm); and (2) the 
residual stress has a normal distribution and bounded by (three standard deviations) of the 
mean. For the welds not subjected to any types of stress relief heat treatment (such as the weld in 
the outer closure lid of the original WP design), the uncertainty range within the two bounding 
stress at the inside surface of the closure lid is assumed to be 35% of the yield strength of the 
material (Mohr 1996, p. 37). For the thinner inner lid of the outer barrier of the improved WP 
design, however, the range of variation is assumed to be 20%. For welds that are subjected to 
induction heat annealing or laser peening (such as the dual lids of the outer barrier of the 
improved WP design), the range is assumed to be 5% of the yield strength. The yield strength, 
Sy, of Alloy 22 is addressed in Sections 4.1.1 and 6.2.2.1. The yield strength at 120oC (257oF), 
i.e., the operation temperature of WP, is 46.72 ksi based on interpolation of data in CRWMS 
M&O (1999c, p. 33).

 40 
DTN: LL000320005924.145 
Figure 20. Mitigation of Weld Stress in Alloy 22 with Laser Peening

 41 
DTN: LL000319905924.144 
NOTE: (a) Radial Stress, Sx 
(b) Hoop Stress, Sz 
Figure 21. Stress in Outer Lid with and without Laser Peening

 42 
DTN: LL000319905924.144 
NOTE: (a) Stress Intensity Factor Plots due to Radial Stress 
(b) Stress Intensity Factor Plots due to Hoop Stress 
Figure 22. Stress Intensity Factors with and without Laser Peening 
(a/t=0.5) 
(a/t=0.5)

 43 
The minimum and maximum stresses, Smin and Smax, in the weld, therefore, can be obtained 
from the mean stress, Sm, by the following equations: 
( ) i, Sm / S i, Sm Sm min S . - = (Eq. 5) 
i, Sm / ) S i, Sm ( Sm max S . + = (Eq. 6) 
where Sm,i is the mean residual stress on inside surface and .S is one-half the difference 
between the maximum and minimum stresses at the inner surface (Smax,i and Smin,i) of the WP 
lid. For the welds not subjected to any types of stress relief heat treatment, .S = 0.35 Sy (or 0.25 
Sy for the thinner inner lid of the outer barrier of the improved WP design and, for welds that are 
subjected to induction heat annealing or laser peening (such as the dual lids of the outer barrier 
of the improved WP design), .S = 0.05 Sy. 
It was stated in Section 6.2.2.1 that, although the determination of weld residual stress for the 
WP welds is a three-dimensional problem, a two-dimensional axisymmetric modeling approach 
has been used for the finite element analyses of the weld residual stresses. The result of this 
assumption is that the stress distribution is axisymmetrical about the WP axial centerline, i.e., 
constant along the circumference. An investigation of cause of cracking in austenitic stainless 
steel piping (Klepfer 1975, Figure 9-95, pp. 9-119) indicated that the residual stress for a 26 inch 
pipe inside surface shows a sinusoidal distribution around the circumference with a range of 
about 5 ksi about the mean stress. Based on this conclusion, it is assumed that the variability of 
the mean stress along the circumference can be represented by the following equation: 
Sm(.)= Sm(0o)  .S(1  cos(.)) (Eq. 7) 
where, 
. is the angle measured from a reference location (. = 0o) on the circumference 
.S is taken to be 2.5 ksi. 
Stress intensity factor is calculated from mean stress as described in Section 6.4.2.2 is assumed 
to be the mean stress intensity factor. Variability and uncertainty for stress intensity factor are 
handled similarly to those for stress because stress intensity factor is a linear function of stress. 
Radial and hoop stress profiles and stress intensity profiles with uncertainty and variability are 
presented in Attachment I. 
6.3 SCC MODEL A: THE THRESHOLD MODEL 
6.3.1 Introduction 
SCC is frequently discussed in terms of crack initiation (incubation and nucleation) and 
propagation (growth). However, there may be a gradual transition from crack initiation to crack 
growth with no separation of stages, or there may be a repeated succession of short steps of

 44 
initiation and growth. In any event, from an engineering standpoint, it is convenient to 
hypothesize the process in two generic stages, initiation and propagation. 
The initiation stage is dominated by electrochemical factors that cause localized breakdown of 
oxide film, formation of corrosion pits and fissures, localized concentration of stress, and 
nucleation of SCC. In the propagation stage, the driving force for crack growth shifts its 
dominance from electrochemical factor to chiefly mechanical factors, which are generally 
characterized by the fracture mechanics based stress intensity factor, KI. Others, however, 
believe that the same elements of film rupture and crack tip embrittlement contribute to both 
initiation and growth. 
The Threshold Model assumes that there exists a threshold value of the stress intensity (KISCC ) 
such that any pre-existing crack will not grow or is in an arrest state if KI(a, s) < KISCC. 
Pre-existing cracks are usually caused by manufacturing processes (especially welding). 
The concept of threshold stress intensity factor (KISCC) has been commonly used to assess the 
susceptibility of material to SCC. The description of this concept can be found in Jones and 
Ricker (1987, pp. 145-163) and Sprowls (1987, pp. 245-292). The applicability of this model to 
Alloy 22 (the material to be used for the outer shell of the WP) was experimentally verified by 
Roy et al. (1998). Test results for Titanium GR-12 from Roy et al. (1998) are assumed to be 
applicable to Titanium GR-7 (material for the DS) and 316NG stainless steel (material for the 
inner shell of the WP). This assumption will be verified by ongoing and planned test activities at 
LLNL and elsewhere. 
To apply the method, it is necessary to obtain values of (1) stress intensity factor KI(a, s) as a 
function of crack size correspondent to the stress state at and near the crack site and (2) the 
threshold stress intensity factor KISCC. This method is considered to be conservative if the 
threshold KISCC can be accurately determined experimentally. This method is conservative 
because it ignores the fact that the crack growth does not necessarily lead to a failure state in 
cases where the stress intensity factor exceeds the threshold. 
The calculations of stress intensity factor for the closure welds in the inner and outer lids of the 
WP were described in Section 6.2. A crack will be either circumferential or radial as shown in 
Figure 11. 
6.3.2 Threshold Stress Intensity Factor 
Currently, only limited experimental data are available for use to estimate the value of KISCC of 
Alloy 22 in waste package relevant environments. These data comprise those of DTN: 
LL000313105924.136 for Alloy 22 tested in 110oC BSW, and Roy et al. (1998) tested at LLNL 
in 5% NaCl acidic brine (pH = 2.7). Based on the results of DTN: LL000313105924.136 tested 
at a KI of 30 MPa (m)1/2 in 110oC BSW with a pH of ~13.4, it can be concluded that a KISCC of 
30 MPa (m)1/2 represents a reasonable mean value since DTN: LL000313105924.136 needed to 
periodically load cycle his compact tension test specimen to maintain SCC crack growth. Under 
fully constant load, the crack growth arrested indicating that the KI value tested was very near 
the KISCC value. DTN: LL000313105924.136 results are corroborated by those of Roy et al. 
(1998).

 45 
Susceptibility to SCC of Alloy 22 was evaluated by Roy et al. (1998) using the National 
Association of Corrosion Engineers (NACE) Standard Double-Cantilever-Beam (DCB) Test 
(NACE 1990, Section 9, Method D) with wedge-loaded precracked DCB test specimens in 
deaerated acidic brine (pH  2.7) at 90C. The NACE Standard DCB Test is a crack-arrest type 
of fracture mechanics test for measuring the resistance of metallic materials to propagation of 
SCC, expressed in terms of a critical stress intensity, KISCC. 
Duplicate samples of each material were loaded at four different initial stress intensity factor (KI) 
values ranging between 20 and 39 ksi (in.)1/2 (or 22 and 43 Mpa (m) 1/2). Both metallography and 
compliance methods were used to determine the final crack length. The final stress intensity 
factor (Kf) for SCC was computed from the measured final wedge load and the average crack 
length. The results indicate that substantial crack growth occurred in alloy 22 specimens between 
two and five months. However, eight-month data suggest that the cracking may have arrested 
after five months, because no significant crack growth was observed between the five- and eightmonth 
tests. 
The final stress intensity factor Kf of Roy et al. (1998) is taken to be the SCC threshold value 
KISCC. In accordance with Roy et al. (1998, Table 1), the Kf values for the eight Alloy 22 
specimens are 27.96, 28.73, 28.78, 29.58, 29.66, 30.94, 31.98, and 32.39 ksi (in.)1/2 For 
quantification of uncertainty associated with KISCC, a normal distribution is assumed. The mean 
value, (KISCC)M, and the standard deviation, (KISCC)s, can be calculated: 
(KISCC)M = 30.00 ksi (in.)1/2 or 33.00 Mpa (m)1/2 (Eq. 8) 
(KISCC)s = 1.61 ksi (in.)1/2 or 1.77 Mpa (m)1/2 (Eq. 9) 
The KISCC value can vary in accordance with different environmental conditions. In the absence 
of more data needed for the assessment of the variability of KISCC, the values obtained by DTN: 
LL000313105924.136 and the distribution derived from Roy et al. (1998) will be used for all 
Yucca Mountain conditions. 
6.4 SCC MODEL B: THE SLIP DISSOLUTION MODEL 
6.4.1 Introduction 
Environmental cracking has historically been separated into initiation and propagation 
phases. This distinction is almost always arbitrary, for initiation is invariably defined as the time 
at which a crack can be detected optically, or when the load has relaxed by a specific amount (in 
a strain-controlled test); in these cases, initiation generally corresponds to a crack depth of 
significant metallurgical dimensions (e.g., = 2 mm). A lifetime prediction model can be achieved 
via a fundamental understanding of the cracking mechanism. The formulation of such a 
fundamentally based model of crack propagation requires the choice of a working hypothesis for 
the cracking mechanism and the evaluation of the parameters of importance in the mechanism. 
For the systems of interest, the slip dissolution/film rupture mechanism has been chosen. This 
cracking mechanism has been successfully applied to model the SCC for stainless steel, 
low-alloy steel, and nickel-based alloys in light water reactor environments (Ford and Andresen 
1988, pp. 798-800; Andresen and Ford 1994, pp. 61-70).

 46 
6.4.2 Slip Dissolution/Film Rupture Mechanism 
In accordance with the slip dissolution/film rupture theory, crack advance is Faradaically related 
to the metal oxidation that occurs when the protective film at the crack tip is ruptured. Figure 23 
(Ford and Andresen 1988, Figure 2; Andresen and Ford 1994, Figure 1) schematically shows the 
change in oxidation current and charge densities with time following the rupture of a protective 
film at the crack tip. The initial oxidation rate (and, hence, crack advance rate) will be rapid, 
typically controlled by activation or diffusion kinetics as the exposed metal rapidly dissolves. 
Availability of the balancing cathodic reduction current is also clearly necessary but is generally 
not limiting in hot water environments. However, in most (if not all) hot water cracking systems, 
a protective oxide reforms at the bared surface, and the rate of total oxidation (and crack tip 
advance) slows with time. Thus, crack advance can only be maintained if the film rupture 
process is repetitive. Therefore, for a given crack tip environment, corrosion potential, and 
metallurgical condition, crack growth will be controlled by the change in oxidation charge 
density with time and the frequency of film rupture at the strained crack tip. The latter parameter 
is determined by the fracture strain of the film, ef, and the strain rate at the crack tip, e
ct. By 
invoking Faradays law, the average environmental crack growth rate, Vt, can be related to the 
strain rate at the crack tip, e
ct, by the following equation (Ford and Andresen 1988, Figure 2, p. 
790; Andresen and Ford 1994, Figure 1, p. 62): 
ct 
f
f 
t 
Q 
F z
M 
V e 
e . 
= & 
(Eq. 10) 
where M, . = atomic weight and density of the crack tip metal 
F = Faradays constant 
z = number of electrons involved in the oxidation of a metal atom 
Qf = oxidation charge density per film rupture 
ef = fracture strain of the film 
The time, tf, to reach the fracture strain, ef, is: 
 
e e = ct f f / t (Eq. 11) 
Figure 24 show the schematic of oxidation current density vs. time following repeated oxide 
rupture events. Repassivation current transients exhibit an initially high bare surface dissolution 
current density, io, at an initial short time, to. Thereafter, oxide growth (or thickening) leads to a 
decay in the oxidation current density which often follows a power law relationship: 
n 
o 
o t t
t 
i i 
- 
.. 
. 
.. 
. 
= 
(Eq. 12) 
Because of this power law relationship, Equation 11 can be reformulated as follows (Andresen 
and Ford 1994, Equation 1, p. 62):

 47 
n 
ct t ) ( A V e = & (Eq. 13) 
where A and n are constants taken from the measured repassivation response. n is the 
slope on a log-log plot from Equation 12. These constants depend on the material and 
environment compositions at the crack tip. 
Figure 23. Schematic Oxidation Charge Density Versus Time for a Strained 
Crack Tip and Unstrained Crack Sides in the Slip Dissolution 
Mechanism

 48 
If a bare surface condition is maintained at the crack tip (i.e., ef/e
ct < to, or tf < to), a maximum 
crack growth rate should result. Integration of Equation 12 leads to: 
( ) 
. . . 
.
. 
. . . 
.
. 
e 
e = = . = 
ct 
f 
o f o 
f t
0 
t f i t i dt i Q (Eq. 14) 
Substitution of Equation 14 into Equation 10 yields the predicted maximum environmental crack 
growth rate: 
o max i 
F z
M 
V 
. 
= 
(Eq. 15) 
This expression for the maximum environmental crack growth rate is the quantitative basis for 
the early observations (discussed earlier in this section) relating the maximum oxidation current 
density on a straining surface to the maximum crack growth rate. However, these early 
correlations were obtained primarily for alloys in concentrated environments (boiling MgCl2, 9M 
NaOH solutions, etc.) under dynamic straining conditions. By comparison, in relatively dilute 
environments it is expected that (a) the passivation rate can be high (e.g., in unaggressive 
chemistries or for lower-susceptibility materials) and thus n (in Equation 12) will be high; (b) 
the onset of repassivation is rapid, and thus to will be short; and (c) under constant load or 
displacement conditions, the periodicity of oxide rupture, ef/e
ct, will be much greater than to. 
Consequently, the oxidation charge rate Q is given by the following equation: 
( ) 
1 n 
ct f 
n
o o f t
0 
t f 
n 1 
t i 
dt i Q -  
. .. 
. 
. .. 
. 
e e - 
= . = (Eq. 16) 
Under these circumstances, a bare surface will not be maintained at the crack tip, and the crack 
propagation rate will be given by the substitution of Equation 16 into Equation 10: 
n
ct n
f 
n
o o 
t 
) n 1 ( 
t i 
F z
M 
V e 
e - . 
= & 
(Eq. 17) 
This is an expanded version of Equation 13 and relates the parameters A and n to the 
specific oxidation rates (e.g., Equation 12) and the fracture strain of the oxide at the crack tip: 
n
f 
n
o o 
) n 1 ( 
t i 
F z
M 
A 
e - . 
= (Eq. 18)

 49 
6.4.3 Model Quantification 
Based on the assumption that the repassivation current follows a power law response (i.e., 
Equation 12), the Faradaic relationship between the oxidation rate following oxide rupture and 
crack advance increment per time (growth rate, Vt), coupled with the relationship between crack 
tip strain rate, e
ct and periodicity of oxide rupture, distills to the appealing and elegant expression 
shown in Equation 13. 
Evaluation of the crack advance mechanism leads to the conclusion that the film rupture/slip 
oxidation mechanism represents a justifiable model for hot water systems that is capable of being 
quantatively evaluated. The mechanism is justifiable because almost all engineering alloys 
depend on the presence of a stable oxide film to act as a kinetic barrier to rapid 
dissolution/oxidation, especially in hot water. It is quantifiable, because predictions result 
directly from measurements of repassivation kinetics, typically obtained by rapidly straining 
wires of base alloy or synthetic (e.g., representative of the grain boundary) composition (see 
Figure 24). 
In accordance with Andresen and Ford (1994, p. 62), the model can be quantified by evaluating 
the following processes: (1) the steady-state and transient compositions of the environment at the 
crack tip as a function of the conditions in the bulk (external) solution; (2) the oxidation rates for 
the material/environmental system expected at a strained crack tip; and (3) the oxide fracture 
strain and the crack tip strain rate, defined in terms of engineering parameters such as the stress 
intensity factor. For practical application, empirical approaches have been used for the model 
quantification processes. 
The initial application of the slip dissolution/film rupture model was on the quantitative 
prediction of cracking in austenitic type 304/316 stainless steels in 288oC high-purity BWR 
water (Ford and Andresen 1988) The model quantification processes can be summarized by the 
following steps: 
Step 1 
Measurements of n can be obtained from repassivation tests based on the assumption that the 
repassivation current follows a power law response (Equation 12). Those tests typically involve 
rapidly straining wires to increase the anodic passive current density, and subsequently 
measuring the decay of the passive current density with time. 
Step 2 
Once n is known, the value of A can be determined from Equation 18 which relates the 
parameters A and n to the specific oxidation rates and the fracture strain of the oxide at the 
crack tip. Alternatively, A can be directly determined from n empirically. The empirical 
determination of A is based on SCC crack growth tests that measure the crack growth rate Vt at 
specific crack tip strain rate e
ct . The value of A is then calculated in accordance with Equation 
13 from n, Vt and e
ct.

 50 
Figure 24. Schematic of Oxidation Current Density Versus Time Following 
Repeated Oxide Rupture Events

 51 
A plot of A versus n is shown in Figure 6 of Ford and Andresen 1988. It is observed from the 
plot that A can be expressed in terms of n by the following formulation: 
A = 7.8 x 10-3 n3.6 (Eq. 19) 
Substitution of Equation 19 into Equation 13 leads to: 
Vt = 7.8 x 10-3 n3.6 (e
ct)n (Eq. 20) 
where Vt has the unit of cm/s and e
ct has the unit of s-1 
For 304 stainless steel in 288oC water, Figure 25 (Ford and Andresen. 1988, Figure 7, p. 791) 
indicates that Equation 20 with n = 0.54 is a good prediction model for observed crack growth 
rate versus crack tip strain rate relationships. 
The crack tip strain rate, e
ct, in Equation 20 is related to the engineering stress parameters (such 
as the stress intensity factor) via the formulations in the Table 1 of Ford and Andresen (1988). 
For constant load, the relationship is: 
4 14 10 4 I ct K x - 
 
= . (Eq. 21) 
where the stress intensity factor KI is in MPa (m)1/2. 
For constant load, substituting Equation 21 in Equation 13 leads to the following alternative 
crack growth rate equation: 
( )n 
I t K A V = (Eq. 22) 
where 
( )n 14 10 x 1 . 4 A A - = (Eq. 23) 
n 4 n = (Eq. 24)

 52 
Figure 25. Crack Growth Rate (Presented by Observed Data Points and Predicted Curve) vs. Crack Tip 
Strain Rate for Sensitized Type 304 Stainless Steel in Oxygenated 288C Water 
6.4.4 Adaptation of Slip Dissolution Model To Alloy 22 
Andresen and Ford (1994, p. 62), indicated that the slip dissolution model have been applied to 
stainless steels, low alloy and carbon steels, ductile nickel alloys, and irradiated stainless steels. 
Ford and Andresen (1988, p. 789), also used the slip dissolution model for 304/316L stainless 
steel, A533B/A508 low alloy steel and Inconel 600/182 nickel-based alloys. Therefore, there is 
ample reason to hypothesize that SCC of nickel-based alloy 22 occurs by the same fundamental 
mechanism characterized by the slip dissolution SCC model, i.e., Equation 13: 
Vt = A (e
ct)n 
The model quantification processes described in Section 6.4.3 for stainless steels are also 
applicable to alloy 22. However, pending the development of applicable data for Alloy 22, the 
model quantification for Alloy 22 has to be developed on the following assumptions:

 53 
(1) The relationship between A and n described by Equation 19 for stainless steels, with t V in 
cm/s and I K in MPa (m)1/2, is also applicable to Alloy 22, i.e., 
6 . 3 3n 10 x 8 . 7 A - = 
For t V in mm/s and I K in MPa (m)1/2, Equation 19 becomes: 
6 . 3 2 n 10 x 8 . 7 A - = (Eq. 25) 
(2) For constant load condition, the alternative crack growth formulation, i.e., Equation 22, can 
be used: 
( )n 
I t K A V = 
where n and A are expressed by Equations 23 and 24, respectively: 
( )n 14 10 x 1 . 4 A A - = 
n 4 n = 
For t V in mm/s and I K in MPa (m)1/2, Equation 23 becomes: 
( )n 14 6 . 3 2 10 x 1 . 4 n 10 x 8 . 7 A - - = (Eq. 26) 
In summary, for constant load condition with t V in mm/s and I K in MPa (m)1/2, the crack 
growth formulation is expressed by the following equation (or Equation 22): 
( )n 
I t K A V = (Eq. 27) 
where n and A are expressed by Equations 26 and 24, respectively: 
( )n 14 6 . 3 2 10 x 1 . 4 n 10 x 8 . 7 A - - = (Eq. 28) 
n 4 n = (Eq. 29) 
(3) The repassivation slope n is potentially more complex, although it is quantifiable, because 
predictions result directly from measurements of repassivation kinetics, typically obtained by 
rapidly straining wires of base alloy or synthetic (e.g., representative of the grain boundary) 
composition. However, in the absence of repassivation test data, an alternative approach has 
been followed. 
The characterization of the slip dissolution model is that the SCC susceptibility decreases 
with increased n value. For 304 stainless steel in 288oC water with 0.5 S cm1 solution

 54 
conductivity, Ford and Andresen (1988, Figure 7, p. 791) indicates that n = 0.54 is a good 
prediction model for observed crack growth rate versus crack tip strain rate relationships. 
Therefore, for a highly SCC resistant material Alloy 22, the suggestion of n = 0.75 is likely 
to be appropriate 
Recent SCC crack growth test results forAlloy 22 at 110oC and KI = 30 MPa (m)1/2 in a 
concentrated mixed salt environment for 1400 hours are depicted by Figure 26 (DTN: 
LL000313105924.136) which indicates an average crack growth rate about 2.1 x 108 mm/s. 
Use of Equations 22, 23, and 24 leads to a value of 0.84 for n (or 3.36 for n based on 
Equation 28 or 33). 
For quantification of the uncertainty associated with n, 0.75 and 0.84, respectively, are 
assumed to represent the lower and upper bounds of n and a uniform distribution between the 
bounds is also assumed. n and A are then determined by Equations 28 and 29, respectively. 
The variability of n as a function of environmental factors is not available due to lack of data. 
A constant value is assumed for n. 
SCC#1 of c144 - Alloy 22 
24.24 
24.25 
24.26 
24.27 
24.28 
24.29 
24.3 
24.31 
24.32 
24.33
200 400 600 800 1000 1200 1400 1600 
Time, hours 
100 
102 
104 
106 
108 
110 
112 
114 
116 
118 
120 
` 
30 MPa/m, R=0.7, 0.001Hz 
@291h 
2.5 x 10-8 
mm/s 
SCC of c144 - Alloy 22, 110C 
30 MPavm, Air sat'd, ~Sat'd Chemistry 
30 MPa/m, R=0.5, 0.001Hz 
@345h 
1.7 x 10-8 
mm/s R=0.6, 0.001 Hz 
@1184h 
DTN: LL000313105924.136 
NOTE: Alloy 22 base metal at 110C in a concentrated mixed salt environment with 5 psi over-pressure 
of laboratory air. 
Figure 26. Crack Length and Temperature vs. Time Plot of the Stress Corrosion Cracking Response of 
Specimen c144

 55 
Ongoing and planned experimental activities at LLNL are designed to provide a more complete 
data base for quantifying the parameters A and n of the slip dissolution/film rupture crack 
growth model. The available data will be incorporated in a future version of this AMR. 
6.5 MISCELLANEOUS TOPICS 
6.5.1 Application of Threshold Stress Intensity Factor Model 
Crack Size Distribution 
Crack size is characterized by its depth and length. Size distribution of crack depth for 
pre-existing manufacture defects in WP closure weld is presented in CRWMS M&O (2000, 
Figure 6.2-4) in terms of probability of exceedance of the flaw size. Each of the curves in 
CRWMS M&O (2000, Figure 6.2-4) is associated with a flaw existence rate and can be used to 
determine the size (depth) of the flaw to be used in the crack growth simulation. 
In order to determine the crack length, the following assumptions are considered: 
(1) Surface flaws are semi-elliptical in shape with depth a and length 2c. 
(2) The aspect ratio (.) is the ratio of one-half of crack length (c) vs. crack depth (a), i.e., . = 
c/a. A semi-circular flaw has an aspect ratio of 1 (. = 1). 
(3) A crack maintains its aspect ratio during its growth until the depth reaches the wall thickness. 
Then, at this point, the shape instantaneously turns into a rectangular one. 
(4) The crack aspect ratio is 1 for radial cracks in the closure weld. 
(5) The crack aspect ratio is greater than 1 for circumferential cracks and assumes an exponential 
distribution based on one of the formulations given in Harris et al. (1981, Equation 2-10, 
p. 29): 
( ) . - . - = . > . / ) 1 ( e P (Eq. 30) 
where . is the standard deviation of . and assumes the value of 0.7. From Equation 30, the 
mean and median values (.mean and .50) and the standard deviation (.sd) of . can be obtained 
by the following formulas. 
.mean = 1 + . = 1.7 
.50 = 1 + . ln2 = 1.485 
.sd = . = 0.7

 56 
6.5.2 Application of Slip Dissolution Model 
Threshold stress-It is generally assumed that crack initiation will not occur if the stress is 
below a threshold value. As a conservative estimate, the lower bound of this threshold stress was 
taken to be 20% of the yield strength while an upper bound for this was 30% of the yield 
strength. A uniform distribution between the lower bound and the upper bound was assumed to 
address the uncertainty of the threshold stress. The variability of the threshold stress versus 
temperature is represented by the variability of the yield strength as a function of the 
temperature. The yield strength of Alloy 22 at the operating temperature of WP (125C or 
257F) is about 46.72 ksi (CRWMS M&O 1999c, p. 33). 
Density of incipient cracks-Due to the lack of information on this subject, it is assumed that 
there always exits one insipient crack in each of the patches. Multiple cracks may grow together 
but only one becomes predominant. 
Distribution of insipient crack size-The distribution of insipient cracks is assumed to be an 
exponential one with a maximum possible size of amax = 0.05 mm and a median size a50 = 0.02 
mm. Thus, the distribution can be expressed as follows: 
( ) ( )o max 
o 
a / a 
o 
a/a 
e 1 a 
e 
a P 
-
- 
- 
= (Eq. 31) 
where o a is related to amax and a50 by the following equation: 
0 e 2e 1 ) /a a ( ) /a a ( o max o 50 = + - - - (Eq. 32) 
For amax = 0.05 mm and a median size a50 = 0.02 mm, ao = 0.061 mm and the mean value is amean 
= 0.023 mm. 
The complementary cumulative function is 
( ) ( ) 
. . . 
.
. 
. . . 
.
. 
- = > 
- 
- 
o 
max 
a 
a a 
o e 1 a a P a P for max a a = (Eq. 33) 
Where P(>a) is the probability of exceedance function which determines the probability of 
having a crack of size > a. It can be seen that P(>0), probability of having a crack size > 0, is 1 
and P(>amax), probability of having a crack size > 0.05 mm is 0. 
6.5.3 Patch Size for Performance Assessment 
The surface of the WP is divided into many rectangular patches in the performance assessment. 
Patch size in terms of width and length will be determined by the size of the closure weld as well 
as the stress distribution in and near the weld since failure can only occur in the closure weld.

 57 
The width of a patch should be at least equal to the width of the weld (about 0.5 inches). Based 
on stress distributions shown in Figures 5 to 10, stress decay is observed at location away from 
the weld/metal interface. It is estimated that a patch width of 2 inches is sufficient to cover 
significant stress distribution. The length of the patch along the direction of the circumference is 
assumed to be equal to the width of the patch. 
6.5.4 Estimate of Crack Opening 
Leak through a crack can occur if the crack grows into a through-thickness crack. Leak rate 
depends on the size of crack opening, among other factors. A comprehensive finite element 
analysis may be attempted in order to estimate the crack opening. A simplified approach, 
however, is described. The following assumptions are made for the simplified approach: 
1. A crack is either circumferential (perpendicular to the radial stress) or radial 
(perpendicular to the hoop stress) in the outer surface of the closure weld of the WP. 
2. According to Section 6.5.1, a circumferential crack is assumed to have a semi-elliptical 
shape with depth a and length 2c. The length of a circumferential crack is determined 
by an exponential distribution described by Equation 30. The aspect ratio c/a for a 
radial crack is assumed to be 1, i.e., a semi-circular crack (c = a). 
3. The crack length 2c of a circumferential crack remains unchanged but the final length 
of a through-wall crack is at least twice the wall thickness. Under this assumption, most 
cracks will grow in both directions of the minor (depth a) and major (length 2c) axes 
and assume the semi-circular shape (i.e., a = c) when they become through-wall cracks. 
According to fracture mechanics (Ewalds and Wanhill 1984, Section 2.5, p. 43), a 
tends to grow faster than c because the stress intensity factor tends to have a maximum 
value at the end of the minor axis and a minimum value at the end of the major axis. So 
eventually a semi-elliptical crack will become a semi-circular crack. The crack length 
2c will remain unchanged only for very long cracks with initial crack length greater 
than twice the wall thickness. For such long cracks, the occurrence rate is usually very 
low. The length of a semi-circular crack will always be equal to twice the crack depth. 
4. The crack opening has an elliptical shape with length 2c and a gap d. 
Tada et al. (1973, p. B.5), showed that the opening of a crack, d, with length 2c in an infinite 
sheet is given for plane stress condition as: 
( ) 
E
c 4 s = d (Eq. 34) 
where s = stress 
E = Youngs modulus 
The opening area, Acr, for an elliptical crack, therefore, can be estimated by:

 58 
( ) ( ) 
E
c 2 
c 2 
4 
A 
2 
cr 
s p = d p = (Eq. 35) 
When Equations 34 and 35 are used to estimate the crack opening and opening area, s is the 
maximum stress across the thickness of either the radial stress (for a circumferential crack) or the 
hoop stress (for a radial crack).

 59 
7. CONCLUSIONS 
Two alternative models that deal with SCC have been adopted for the performance assessment of 
the material (Alloy 22) to be used for the WP outer barrier of the Enhanced Design Alternative II 
(EDA II) of the Yucca Mountain Program. Both models will be used in the performance 
assessment due to the critical functional requirement of the WP. 
The first model (the Threshold Model) is based on the theory that there exists a threshold value 
(KISCC) for the stress intensity factor such that there is no growth of a pre-existing crack or flaw 
having a stress intensity factor less than the threshold value. The concept of threshold stress 
intensity factor (KISCC or Kth) has been commonly used to assess the susceptibility of material to 
SCC. The description of this concept can be found in Jones and Ricker (1987, pp. 145-163), and 
Sprowls (1987, pp. 245-282). The applicability of this model to Alloy 22 (the material to be used 
for the outer shell of the WP) was experimentally validated by Roy et al. (1998). 
The second model (the Slip Dissolution/Film Rupture Model) relates crack initiation and the 
subsequent advance to the metal oxidation that occurs when the protective film at the crack tip is 
ruptured. The theory of slip dissolution and film rupture was successfully applied to assess the 
SCC crack propagation for light water reactors at high temperature. This model was adopted to 
assess the SCC capability of the materials to be used for the outer barrier of the WP (Alloy 22). 
Model validation in this AMR has been accomplished by comparing experimental measurements 
of key model parameters to corroborative data available from the open scientific literature. 
Model parameters and the associated uncertainty and variability for both SCC models have been 
quantified. The application of the SCC models to the WP also requires input of weld residual 
stress profiles and stress intensity factor profiles along with uncertainty and variability. These 
input quantities have been developed for two alternative designs of the WP, i.e., the original 
design and an improved design. The improved design has incorporated special stress mitigation 
procedures used to eliminate or minimize the tensile weld residual stress in the final closure 
welds of the WP. 
This document may be affected by technical product input information that requires 
confirmation. Any changes to the document that may occur as a result of completing the 
confirmation activities will be reflected in subsequent revisions. The status of the input 
information quality may be confirmed by review of the Document Input Reference System 
database. 
The following data tracking numbers (DTNs) have been assigned to the data developed in this 
AMR: 
 DTN: LL000315905924.139 
 DTN: LL000316005924.140 
 DTN: LL000316105924.141 
 DTN: LL000319805924.143 
 DTN: LL000319905924.144 
 DTN: LL000320005924.145

 60 
8. INPUTS AND REFERENCES 
8.1 DOCUMENTS CITED 
Andresen, P.L and Ford, F.P. 1994. "Fundamental Modeling of Environment Cracking for 
Improved Design and Lifetime Evaluation in BWRs." International Journal of Pressure Vessels 
and Piping, 59 (1-3), 61-70. New York, New York: Elsevier Science. TIC: 247388. 
Buchalet, C.B. and Bamford, W.H. 1976. "Stress Intensity Factor Solutions for Continuous 
Surface Flaws in Reactor Pressure Vessels." Mechanics of Crack Growth, Proceedings of the 
Eighth National Symposium on Fracture Mechanics, Brown University, Providence, Rhode 
Island, 26-28 August 1974. ASTM Special Technical Publication 590, 385-402. Philadelphia, 
Pennsylvania: American Society for Testing Materials. TIC: 247548. 
Chan, S.K.; Tuba, I.S.; and Wilson, W.K. 1970. "On Finite Element Method in Linear Fracture 
Mechanics." Engineering Fracture Mechanics, 1-17. Oxford, United Kingdom: Pergamon Press. 
TIC: 247507. 
CRWMS M&O 1998. Waste Package Phase II Closure Methods Report. BBA000000-01717- 
5705-00016 REV 00. Las Vegas, Nevada: CRWMS M&O. ACC: MOL.19981208.0099. 
CRWMS M&O 1999a. Classification of the MGR Uncanistered Spent Nuclear Fuel Disposal 
Container System. ANL-UDC-SE-000001 REV 00. Las Vegas, Nevada: CRWMS M&O. ACC: 
MOL.19990928.0216. 
CRWMS M&O 1999b. 11017040 Long Term Materials Testing and Modeling. Activity 
Evaluation, January 20, 1999. Las Vegas, Nevada: CRWMS M&O. ACC: MOL.19990224.0429. 
CRWMS M&O 1999c. Waste Package Materials Properties. BBA000000-01717-0210-00017 
REV 00. Las Vegas, Nevada: CRWMS M&O. ACC: MOL.19990407.0172. 
CRWMS M&O 1999d. Uncanistered Spent Nuclear Fuel Disposal Container System 
Description Document. SDD-UDC-SE-000001 REV 00. Las Vegas, Nevada: CRWMS M&O. 
ACC: MOL.19991217.0512. 
CRWMS M&O 1999e. Analysis and Model Reports to Support Waste Package PMR. TDP-EBSMD-
000003 REV 00. Las Vegas, Nevada: CRWMS M&O. ACC: MOL.19990809.0401. 
CRWMS M&O 2000. Analysis of Mechanisms for Early Waste Package Failure. ANL-EBSMD-
000023 REV 01. Las Vegas, Nevada: CRWMS M&O. ACC: MOL.20000223.0878. 
DOE (U.S. Department of Energy) 2000. Quality Assurance Requirements and Description. 
DOE/RW-0333P, Rev. 9. Washington, D.C.: U.S. Department of Energy, Office of Civilian 
Radioactive Waste Management. ACC: MOL.19991028.0012. 
Ewalds, H.L. and Wanhill,R.J.H. 1984. Fracture Mechanics. New York, New York: Edward 
Arnold. TIC: 247389.

 61 
Ford, F.P. and Andresen, P.L. 1988. "Development and Use of a Predictive Model of Crack 
Propagation in 304/316L, A533B/A508 and Inconel 600/182 Alloys in 288C Water." 
Proceedings of the Third International Symposium on Environmental Degradation of Materials 
in Nuclear Power Systems--Water Reactors, Traverse City, Michigan, August 30-September 3, 
1987. Theus, G.J. and Weeks, J.R., eds. 798 - 800. Houston , Texas: National Association of 
Corrosion Engineers. TIC: 247505. 
Harris, D.O.; Lim, E.Y.; and Dedhia, D.D. 1981. Probabilistic Fracture Mechanics Analysis. 
Volume 5 of Probability of Pipe Fracture in the Primary Coolant Loop of a PWR Plant. 
NUREG/CR-2189. Washington, D.C.: U.S. Nuclear Regulatory Commission. TIC: 247333. 
Jones, R.H. and Ricker, R.E. 1987. "Stress-Corrosion Cracking." Metals Handbook Ninth 
Edition. Volume 13. Corrosion . 145-163. Metals Park, Ohio: ASM International. TIC: 209807. 
Klepfer, H.H. 1975. Investigation of Cause of Cracking in Austenitic Stainless Steel Piping. 
Volume 1. NEDO-21000-1 75NED35 CLASS 1. San Jose, California: General Electric. 
Copyright Requested. Library Tracking Number-247509 
Mohr, W.C. 1996. "Internal Surface Residual Stresses in Girth Butt-Welded Steel Pipes ." 
Residual Stresses in Design, Fabrication, Assessment and Repair, PVP-Vol. 321, 37-44. New 
York, New York: American Society of Mechanical Engineers. TIC: 247502. 
NACE 1990. Standard Test Method: Laboratory Testing of Metals for Resistance to Sulfide 
Stress Cracking in HS Environment. NCE Standard TM0177-90. Houston, TX: National 
Association of Corrosion Engineers (NACE). Copyright Requested Library Tracking Number- 
247506 
Rice, J.R. 1968. "A Path Independent Integral and the Approximate Analysis of Strain 
Concentration by Notches and Cracks." Journal of Applied Mechanics, Transactions of the 
ASME, 35, 379-386. New York, New York: American Society of Mechanical Engineers. TIC: 
247487. 
Roy, A.K.; Fleming, D.L.; Freeman, D.C.; and Lum, B.Y. 1998. Stress Corrsosion Cracking of 
Alloy C-22 and Ti GR-12 Using Double-Cantilever-Beam Technique. UCRL-JC-132145. 
Livermore, California: Lawrence Livermore National Laboratory. ACC: MOL.19990420.0114. 
Sprowls, D.O. 1987. "Evaluation of Stress-Corrosion Cracking." Metals Handbook Ninth 
Edition. Volume 13. Corrosion. 245-282. Metals Park, Ohio: ASM International. TIC: 209807. 
Tada, H.; Paris, P.C.; and Irwin, G.R. 1973. The Stress Analysis of Cracks Handbook. St. Louis, 
Missouri: Del Research Corporation. TIC: 247050. 
8.2 CODES, STANDARDS, REGULATIONS, AND PROCEDURES 
QAP-2-3, Rev. 10. Classification of Permanent Items. Las Vegas, Nevada: CRWMS M&O. 
ACC: MOL. 19990316.0006.

 62 
QAP-2-0, Rev. 5, ICN 1. Conduct of Activities. Las Vegas, Nevada: CRWMS M&O. ACC: 
MOL. 19991109.0221. 
8.3 SOURCE DATA 
LL991208505924.099. General Corrosion and Localized Corrosion of Waste Package Outer 
Barrier (GC Rates of Alloy 22). Submittal date: 12/20/1999. 
LL000312705924.132. Sress Corrosion Cracking of the Drip Shield, the Waste Package Outer 
Barrier and the Stainless Steel Structural Material. Submittal date: 03/10/2000. 
LL000313105924.136. Stress Corrosion Cracking of the Drip Shield, the Waste Package Outer 
Barrier and the Stainless Steel Structural Material. Submittal date: 03/13/2000. Library Tracking 
Number-247510 
LL000313305924.138. Stress Corrosion Cracking of the Drip Shield, the Waste Package Outer 
Barrier and the Stainless Steel Structural Material. Submittal date: 03/13/2000. 
LL000316205924.142. Stress Corrosion Cracking of the Drip Shield, the Waste Package Outer 
Barrier and the Stainless Steel Structural Material. Submittal date: 03/22/2000.

 I-1 
ATTACHMENT I 
STRESS AND STRESS INTENSITY FACTOR PROFILES WITH 
UNCERTAINTY AND VARIABILITY 
This attachment contains three Excel files: S&K_OL_Unan (stress and stress intensity factor 
profiles for the outer lid of the original WP design), S&K_OL_Anne (stress and stress intensity 
factor profiles for the outer lid of outer barrier of the improved WP design), and S&K_IL_Peen 
(stress and stress intensity factor profiles for the inner lid of outer barrier of the improved WP 
design). 
The Excel File S&K_OL_Unan DTN: LL000315905924.139 contains the following six 
items: 
a) UnAnneal,Sx  Excel tables containing radial stress and stress intensity factor profiles as a 
function of depth at location designated as 0, 18, 36, 54, 72, and 90 degrees along the 
circumference of the closure weld. Mean, maximum and minimum stress and stress intensity 
values are given at each of the locations to characterize uncertainty. Stress and stress 
intensity factor profiles are presented in the first table by British units, i.e., stress in ksi, 
distance in inches and stress intensity factor in ksi (in)1/2 and in the second table by metric 
units, i.e., stress in MPa, distance in m and stress intensity factor in MPa (m)1/2. The 
variability of the mean stress along the circumference is represented by Eq. 7. 
Mean stress intensity factor is calculated from mean stress at 0 degree. Variability and 
uncertainty for stress intensity factor are handled similarly to those for stress because stress 
intensity factor is a linear function of stress. 
b) UnAnneal,SxPlt  Plot depicting mean, minimum and maximum radial stress profiles at 0 
degree. 
c) UnAnneal,KSxPlt  Plot depicting mean, minimum and maximum radial stress intensity 
factor profiles at 0 degree. 
d) UnAnneal,Sz - Excel tables containing hoop stress and stress intensity factor profiles as a 
function of depth at location designated as 0, 18, 36, 54, 72, and 90 degrees along the 
circumference of the closure weld. 
e) UnAnneal,SzPlt - Plot depicting mean, minimum and maximum hoop stress profiles at 0 
degree. 
f) UnAnneal,KSzPlt - Plot depicting mean, minimum and maximum hoop stress intensity factor 
profiles at 0 degree.

 I-2 
a) UnAnneal,Sx 
Results in Metric Unit start in Cell A80 
Angle(deg): 0 18 
(rad): 0 0.3141593 
Scale Factor: 1 2.6109966 -0.610997 0.9880888 2.6109966 -0.610997 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Depth Stress: Sx K(Sx) w/GF Stress: Sx K(Sx) w/GF Stress: Sx K(Sx) w/GF Stress: Sx K(Sx) w/GF Stress: Sx K(Sx) w/GF Stress: Sx K(Sx) w/GF 
(in) (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 
0.0157 17.3262 4.1085 45.2386 10.7273 -10.5862 -2.5103 17.2038 4.0596 44.9191 10.5995 -10.5115 -2.4804 
0.0315 17.6440 5.9900 46.0684 15.6400 -10.7804 -3.6599 17.5216 5.9187 45.7489 15.4537 -10.7057 -3.6163 
0.0472 17.8266 7.4983 46.5451 19.5782 -10.8920 -4.5815 17.7042 7.4090 46.2256 19.3450 -10.8172 -4.5269 
0.0630 17.8825 8.7749 46.6910 22.9112 -10.9261 -5.3614 17.7601 8.6704 46.3716 22.6383 -10.8514 -5.2976 
0.0787 17.8171 9.8632 46.5205 25.7528 -10.8862 -6.0264 17.6948 9.7457 46.2010 25.4461 -10.8114 -5.9546 
0.0945 17.6360 10.7773 46.0475 28.1394 -10.7755 -6.5849 17.5136 10.6489 45.7280 27.8042 -10.7008 -6.5064 
0.1102 17.3475 11.7022 45.2942 30.5544 -10.5992 -7.1500 17.2251 11.5628 44.9747 30.1904 -10.5245 -7.0648 
0.1260 16.9541 12.5457 44.2672 32.7569 -10.3589 -7.6654 16.8318 12.3963 43.9477 32.3667 -10.2842 -7.5741 
0.1417 16.4671 13.2583 42.9956 34.6173 -10.0614 -8.1008 16.3448 13.1003 42.6761 34.2050 -9.9866 -8.0043 
0.1574 15.8904 13.8403 41.4899 36.1370 -9.7090 -8.4564 15.7681 13.6754 41.1704 35.7066 -9.6342 -8.3557 
0.1732 15.2257 14.2933 39.7543 37.3197 -9.3029 -8.7331 15.1034 14.1230 39.4348 36.8752 -9.2281 -8.6291 
0.1889 14.4876 14.6316 37.8270 38.2031 -8.8519 -8.9399 14.3652 14.4573 37.5075 37.7480 -8.7771 -8.8334 
0.2047 13.6728 14.9314 35.6997 38.9857 -8.3540 -9.1230 13.5505 14.7535 35.3802 38.5214 -8.2793 -9.0143 
0.2204 12.7979 15.2005 33.4153 39.6884 -7.8195 -9.2874 12.6756 15.0194 33.0958 39.2156 -7.7447 -9.1768 
0.2362 11.8580 15.3600 30.9611 40.1050 -7.2452 -9.3849 11.7356 15.1771 30.6417 39.6273 -7.1704 -9.2731 
0.2519 10.8710 15.4278 28.3843 40.2820 -6.6422 -9.4263 10.7487 15.2441 28.0648 39.8022 -6.5674 -9.3141 
0.2676 9.8375 15.4084 25.6857 40.2312 -6.0107 -9.4145 9.7152 15.2249 25.3662 39.7520 -5.9359 -9.3023 
0.2834 8.7565 15.3059 22.8633 39.9638 -5.3502 -9.3519 8.6342 15.1236 22.5438 39.4878 -5.2755 -9.2405 
0.2991 7.6480 15.2077 19.9689 39.7071 -4.6729 -9.2918 7.5256 15.0265 19.6494 39.2342 -4.5981 -9.1812 
0.3149 6.5040 15.2416 16.9819 39.7959 -3.9739 -9.3126 6.3816 15.0601 16.6624 39.3219 -3.8992 -9.2017 
0.3306 5.3452 15.2188 13.9562 39.7363 -3.2659 -9.2987 5.2228 15.0376 13.6367 39.2630 -3.1911 -9.1879 
0.3464 4.1630 15.1360 10.8695 39.5200 -2.5435 -9.2480 4.0406 14.9557 10.5500 39.0493 -2.4688 -9.1379 
0.3621 2.9785 15.0102 7.7769 39.1915 -1.8199 -9.1712 2.8562 14.8314 7.4574 38.7247 -1.7451 -9.0619 
0.3779 1.7830 14.8376 4.6554 38.7409 -1.0894 -9.0657 1.6607 14.6609 4.3360 38.2795 -1.0147 -8.9577 
0.3936 0.5977 14.6343 1.5606 38.2102 -0.3652 -8.9415 0.4754 14.4600 1.2412 37.7551 -0.2904 -8.8350 
0.4093 -0.5788 14.6292 -1.5112 38.1967 0.3536 -8.9384 -0.7011 14.4549 -1.8307 37.7417 0.4284 -8.8319 
0.4251 -1.7477 14.5568 -4.5633 38.0079 1.0678 -8.8942 -1.8701 14.3834 -4.8827 37.5551 1.1426 -8.7882 
0.4408 -2.8881 14.4335 -7.5407 37.6857 1.7646 -8.8188 -3.0104 14.2616 -7.8602 37.2369 1.8394 -8.7138 
0.4566 -4.0082 14.2556 -10.4653 37.2212 2.4490 -8.7101 -4.1305 14.0858 -10.7848 36.7779 2.5237 -8.6064 
0.4723 -5.0877 14.0383 -13.2838 36.6540 3.1085 -8.5774 -5.2100 13.8711 -13.6033 36.2174 3.1833 -8.4752 
0.4881 -6.1341 13.7780 -16.0160 35.9742 3.7479 -8.4183 -6.2564 13.6139 -16.3355 35.5458 3.8227 -8.3180 
0.5038 -7.1280 13.7401 -18.6112 35.8754 4.3552 -8.3952 -7.2504 13.5765 -18.9306 35.4481 4.4299 -8.2952 
0.5196 -8.0759 13.7268 -21.0860 35.8407 4.9343 -8.3871 -8.1982 13.5633 -21.4055 35.4138 5.0091 -8.2872 
0.5353 -8.9595 13.6652 -23.3932 35.6797 5.4742 -8.3494 -9.0819 13.5024 -23.7127 35.2547 5.5490 -8.2499 
0.5510 -9.7789 13.5566 -25.5328 35.3962 5.9749 -8.2830 -9.9013 13.3951 -25.8523 34.9746 6.0497 -8.1844 
0.5668 -10.5326 13.4026 -27.5005 34.9942 6.4354 -8.1889 -10.6549 13.2430 -27.8200 34.5773 6.5101 -8.0914 
0.5825 -11.2047 13.2165 -29.2555 34.5084 6.8460 -8.0753 -11.3271 13.0591 -29.5750 34.0973 6.9208 -7.9791 
0.5983 -11.7977 13.3386 -30.8037 34.8271 7.2083 -8.1498 -11.9200 13.1797 -31.1232 34.4122 7.2831 -8.0528 
0.6140 -12.2978 13.7470 -32.1095 35.8933 7.5139 -8.3993 -12.4202 13.5832 -32.4290 35.4657 7.5887 -8.2993 
0.6298 -12.7052 14.0864 -33.1733 36.7795 7.7628 -8.6067 -12.8276 13.9186 -33.4927 36.3414 7.8376 -8.5042 
0.6455 -13.0086 14.3723 -33.9654 37.5260 7.9482 -8.7814 -13.1310 14.2011 -34.2849 37.0790 8.0230 -8.6768 
0.6612 -13.2047 14.6077 -34.4774 38.1407 8.0680 -8.9253 -13.3271 14.4337 -34.7969 37.6864 8.1428 -8.8190 
0.6770 -13.2875 14.7954 -34.6937 38.6307 8.1186 -9.0399 -13.4099 14.6192 -35.0132 38.1706 8.1934 -8.9323 
0.6927 -13.2499 15.1705 -34.5954 39.6102 8.0956 -9.2691 -13.3722 14.9898 -34.9149 39.1384 8.1704 -9.1587 
0.7085 -13.0850 16.0968 -34.1650 42.0286 7.9949 -9.8351 -13.2074 15.9050 -34.4845 41.5280 8.0697 -9.7179 
0.7242 -12.7889 16.8867 -33.3918 44.0911 7.8140 -10.3177 -12.9113 16.6855 -33.7113 43.5659 7.8887 -10.1948 
0.7400 -12.3515 17.5460 -32.2498 45.8126 7.5467 -10.7206 -12.4739 17.3370 -32.5693 45.2669 7.6215 -10.5929 
0.7557 -11.7722 18.0973 -30.7373 47.2520 7.1928 -11.0574 -11.8946 17.8818 -31.0567 46.6892 7.2676 -10.9257 
0.7715 -11.0374 18.5445 -28.8187 48.4195 6.7438 -11.3306 -11.1598 18.3236 -29.1382 47.8428 6.8186 -11.1956 
0.7872 -10.1502 18.9087 -26.5022 49.3706 6.2018 -11.5532 -10.2726 18.6835 -26.8217 48.7825 6.2765 -11.4155

 I-3 
a) UnAnneal,Sx (continued) 
36 54 
0.6283185 0.9424778 
0.9550742 2.6109966 -0.610997 0.9078296 2.6109966 -0.610997 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Stress: Sx K(Sx) w/GF Stress: Sx K(Sx) w/GF Stress: Sx K(Sx) w/GF Stress: Sx K(Sx) w/GF Stress: Sx K(Sx) w/GF Stress: Sx K(Sx) w/GF 
(ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 
16.8487 3.9239 43.9920 10.2454 -10.2945 -2.3975 16.2956 3.7298 42.5479 9.7386 -9.9566 -2.2789 
17.1665 5.7209 44.8218 14.9373 -10.4887 -3.4955 16.6135 5.4379 43.3777 14.1984 -10.1508 -3.3226 
17.3491 7.1615 45.2985 18.6986 -10.6002 -4.3756 16.7960 6.8072 43.8544 17.7736 -10.2623 -4.1592 
17.4050 8.3807 45.4444 21.8819 -10.6344 -5.1206 16.8519 7.9661 44.0003 20.7994 -10.2965 -4.8673 
17.3397 9.4201 45.2738 24.5959 -10.5945 -5.7557 16.7866 8.9541 43.8297 23.3792 -10.2566 -5.4709 
17.1585 10.2931 44.8008 26.8752 -10.4838 -6.2890 16.6054 9.7839 43.3568 25.5458 -10.1459 -5.9779 
16.8700 11.1765 44.0475 29.1817 -10.3075 -6.8288 16.3169 10.6236 42.6034 27.7381 -9.9696 -6.4910 
16.4767 11.9821 43.0205 31.2852 -10.0672 -7.3210 15.9236 11.3894 41.5764 29.7376 -9.7293 -6.9589 
15.9897 12.6626 41.7490 33.0621 -9.7696 -7.7368 15.4366 12.0362 40.3049 31.4266 -9.4317 -7.3541 
15.4130 13.2185 40.2432 34.5135 -9.4173 -8.0765 14.8599 12.5646 38.7991 32.8062 -9.0793 -7.6770 
14.7483 13.6511 38.5077 35.6431 -9.0111 -8.3408 14.1952 12.9759 37.0636 33.8799 -8.6732 -7.9282 
14.0101 13.9743 36.5804 36.4868 -8.5601 -8.5382 13.4570 13.2830 35.1363 34.6819 -8.2222 -8.1159 
13.1954 14.2606 34.4530 37.2343 -8.0623 -8.7132 12.6423 13.5551 33.0089 35.3924 -7.7244 -8.2821 
12.3205 14.5176 32.1687 37.9053 -7.5278 -8.8702 11.7674 13.7994 30.7246 36.0303 -7.1898 -8.4314 
11.3805 14.6700 29.7145 38.3033 -6.9535 -8.9633 10.8274 13.9443 28.2704 36.4085 -6.6155 -8.5199 
10.3936 14.7347 27.1376 38.4723 -6.3504 -9.0029 9.8405 14.0058 25.6935 36.5692 -6.0125 -8.5575 
9.3601 14.7161 24.4391 38.4238 -5.7190 -8.9915 8.8070 13.9882 22.9950 36.5231 -5.3810 -8.5467 
8.2791 14.6183 21.6167 38.1684 -5.0585 -8.9317 7.7260 13.8952 20.1726 36.2803 -4.7206 -8.4899 
7.1705 14.5244 18.7223 37.9233 -4.3812 -8.8744 6.6175 13.8060 17.2782 36.0473 -4.0433 -8.4354 
6.0265 14.5569 15.7353 38.0080 -3.6822 -8.8942 5.4735 13.8368 14.2912 36.1279 -3.3443 -8.4542 
4.8677 14.5351 12.7095 37.9511 -2.9741 -8.8809 4.3146 13.8161 11.2654 36.0738 -2.6362 -8.4416 
3.6855 14.4560 9.6228 37.7445 -2.2518 -8.8326 3.1324 13.7409 8.1787 35.8774 -1.9139 -8.3956 
2.5011 14.3358 6.5303 37.4308 -1.5281 -8.7591 1.9480 13.6267 5.0862 35.5792 -1.1902 -8.3259 
1.3056 14.1710 3.4088 37.0005 -0.7977 -8.6584 0.7525 13.4700 1.9647 35.1702 -0.4598 -8.2301 
0.1203 13.9769 0.3140 36.4936 -0.0735 -8.5398 -0.4328 13.2855 -1.1301 34.6884 0.2645 -8.1174 
-1.0562 13.9719 -2.7579 36.4807 0.6454 -8.5368 -1.6093 13.2808 -4.2019 34.6761 0.9833 -8.1145 
-2.2252 13.9029 -5.8099 36.3003 1.3596 -8.4946 -2.7782 13.2151 -7.2540 34.5047 1.6975 -8.0744 
-3.3655 13.7850 -8.7874 35.9927 2.0563 -8.4226 -3.9186 13.1031 -10.2314 34.2122 2.3943 -8.0060 
-4.4856 13.6151 -11.7119 35.5490 2.7407 -8.3188 -5.0387 12.9416 -13.1560 33.7905 3.0786 -7.9073 
-5.5651 13.4076 -14.5305 35.0073 3.4003 -8.1920 -6.1182 12.7444 -15.9746 33.2756 3.7382 -7.7868 
-6.6115 13.1590 -17.2627 34.3581 4.0396 -8.0401 -7.1646 12.5081 -18.7068 32.6585 4.3776 -7.6424 
-7.6054 13.1228 -19.8578 34.2637 4.6469 -8.0180 -8.1585 12.4737 -21.3019 32.5688 4.9848 -7.6214 
-8.5533 13.1102 -22.3327 34.2306 5.2260 -8.0103 -9.1064 12.4616 -23.7768 32.5373 5.5640 -7.6140 
-9.4370 13.0513 -24.6398 34.0768 5.7659 -7.9743 -9.9900 12.4056 -26.0839 32.3911 6.1039 -7.5798 
-10.2564 12.9475 -26.7794 33.8060 6.2666 -7.9109 -10.8095 12.3071 -28.2235 32.1337 6.6046 -7.5196 
-11.0100 12.8005 -28.7472 33.4220 6.7271 -7.8211 -11.5631 12.1673 -30.1913 31.7687 7.0650 -7.4342 
-11.6822 12.6228 -30.5021 32.9580 7.1378 -7.7125 -12.2353 11.9984 -31.9462 31.3277 7.4757 -7.3310 
-12.2751 12.7394 -32.0503 33.2624 7.5001 -7.7837 -12.8282 12.1092 -33.4944 31.6170 7.8380 -7.3987 
-12.7753 13.1294 -33.3561 34.2807 7.8056 -8.0220 -13.3283 12.4799 -34.8002 32.5850 8.1436 -7.6252 
-13.1827 13.4535 -34.4199 35.1272 8.0546 -8.2201 -13.7357 12.7880 -35.8640 33.3895 8.3925 -7.8135 
-13.4861 13.7266 -35.2120 35.8401 8.2399 -8.3869 -14.0391 13.0476 -36.6561 34.0672 8.5779 -7.9720 
-13.6822 13.9515 -35.7241 36.4272 8.3598 -8.5243 -14.2352 13.2613 -37.1682 34.6253 8.6977 -8.1026 
-13.7650 14.1307 -35.9404 36.8952 8.4104 -8.6338 -14.3181 13.4317 -37.3844 35.0701 8.7483 -8.2067 
-13.7273 14.4890 -35.8420 37.8307 8.3874 -8.8527 -14.2804 13.7723 -37.2861 35.9593 8.7253 -8.4148 
-13.5625 15.3736 -35.4116 40.1405 8.2866 -9.3932 -14.1156 14.6131 -36.8557 38.1548 8.6246 -8.9286 
-13.2664 16.1280 -34.6385 42.1103 8.1057 -9.8542 -13.8195 15.3302 -36.0826 40.0272 8.4436 -9.3667 
-12.8290 16.7577 -33.4964 43.7544 7.8385 -10.2389 -13.3821 15.9288 -34.9405 41.5900 8.1764 -9.7324 
-12.2497 17.2843 -31.9839 45.1292 7.4845 -10.5606 -12.8028 16.4293 -33.4280 42.8968 7.8224 -10.0382 
-11.5149 17.7113 -30.0653 46.2443 7.0356 -10.8216 -12.0680 16.8352 -31.5094 43.9567 7.3735 -10.2863 
-10.6277 18.0592 -27.7489 47.1526 6.4935 -11.0341 -11.1808 17.1659 -29.1930 44.8201 6.8314 -10.4883

 I-4 
a) UnAnneal,Sx (continued) 
72 90 
1.2566371 1.5707963 
0.8545629 2.6109966 -0.610997 0.8023753 2.6109966 -0.610997 From Analyses 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface Mean 
Stress: Sx K(Sx) w/GF Stress: Sx K(Sx) w/GF Stress: Sx K(Sx) w/GF Stress: Sx K(Sx) w/GF Stress: Sx K(Sx) w/GF Stress: Sx K(Sx) w/GF Stress: Sx K(Sx) w/GF 
(ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 
15.5987 3.5110 40.7282 9.1672 -9.5308 -2.1452 14.8262 3.2966 38.7111 8.6073 -9.0587 -2.0142 17.3262 4.1085 
15.9165 5.1189 41.5580 13.3653 -9.7249 -3.1276 15.1440 4.8063 39.5409 12.5491 -9.2529 -2.9366 17.6440 5.9900 
16.0991 6.4078 42.0347 16.7308 -9.8365 -3.9151 15.3266 6.0165 40.0176 15.7090 -9.3645 -3.6761 17.8266 7.4983 
16.1550 7.4987 42.1807 19.5790 -9.8707 -4.5817 15.3825 7.0407 40.1635 18.3834 -9.3986 -4.3019 17.8825 8.7749 
16.0897 8.4287 42.0101 22.0074 -9.8307 -5.1499 15.3171 7.9140 39.9930 20.6634 -9.3587 -4.8354 17.8171 9.8632 
15.9085 9.2098 41.5371 24.0469 -9.7201 -5.6272 15.1360 8.6474 39.5200 22.5783 -9.2480 -5.2835 17.6360 10.7773 
15.6200 10.0002 40.7838 26.1106 -9.5438 -6.1101 14.8475 9.3895 38.7667 24.5161 -9.0717 -5.7370 17.3475 11.7022 
15.2267 10.7211 39.7568 27.9928 -9.3034 -6.5506 14.4541 10.0664 37.7397 26.2833 -8.8314 -6.1505 16.9541 12.5457 
14.7397 11.3300 38.4852 29.5827 -9.0059 -6.9226 13.9671 10.6381 36.4681 27.7761 -8.5339 -6.4998 16.4671 13.2583 
14.1630 11.8274 36.9795 30.8813 -8.6535 -7.2265 13.3904 11.1051 34.9624 28.9954 -8.1815 -6.7852 15.8904 13.8403 
13.4983 12.2145 35.2439 31.8920 -8.2474 -7.4630 12.7257 11.4686 33.2268 29.9444 -7.7754 -7.0073 15.2257 14.2933 
12.7601 12.5036 33.3166 32.6469 -7.7964 -7.6397 11.9876 11.7400 31.2995 30.6532 -7.3244 -7.1731 14.4876 14.6316 
11.9454 12.7598 31.1893 33.3158 -7.2986 -7.7962 11.1728 11.9806 29.1722 31.2812 -6.8265 -7.3201 13.6728 14.9314 
11.0705 12.9898 28.9049 33.9162 -6.7640 -7.9367 10.2979 12.1965 26.8878 31.8450 -6.2920 -7.4520 12.7979 15.2005 
10.1305 13.1261 26.4507 34.2723 -6.1897 -8.0200 9.3580 12.3245 24.4336 32.1793 -5.7177 -7.5302 11.8580 15.3600 
9.1436 13.1840 23.8739 34.4235 -5.5867 -8.0554 8.3710 12.3789 21.8568 32.3213 -5.1147 -7.5635 10.8710 15.4278 
8.1101 13.1674 21.1753 34.3801 -4.9552 -8.0453 7.3375 12.3633 19.1582 32.2805 -4.4832 -7.5539 9.8375 15.4084 
7.0291 13.0799 18.3529 34.1516 -4.2948 -7.9918 6.2565 12.2811 16.3358 32.0659 -3.8227 -7.5037 8.7565 15.3059 
5.9205 12.9959 15.4585 33.9323 -3.6174 -7.9405 5.1480 12.2022 13.4414 31.8600 -3.1454 -7.4555 7.6480 15.2077 
4.7765 13.0249 12.4715 34.0081 -2.9184 -7.9582 4.0040 12.2295 10.4544 31.9312 -2.4464 -7.4722 6.5040 15.2416 
3.6177 13.0054 9.4458 33.9572 -2.2104 -7.9463 2.8452 12.2112 7.4287 31.8834 -1.7384 -7.4610 5.3452 15.2188 
2.4355 12.9347 6.3591 33.7723 -1.4881 -7.9030 1.6630 12.1447 4.3420 31.7099 -1.0161 -7.4204 4.1630 15.1360 
1.2511 12.8271 3.2665 33.4916 -0.7644 -7.8373 0.4785 12.0438 1.2494 31.4463 -0.2924 -7.3587 2.9785 15.0102 
0.0556 12.6797 0.1451 33.1066 -0.0339 -7.7472 -0.7170 11.9053 -1.8720 31.0848 0.4381 -7.2741 1.7830 14.8376 
-1.1297 12.5060 -2.9498 32.6530 0.6903 -7.6411 -1.9023 11.7422 -4.9669 30.6589 1.1623 -7.1745 0.5977 14.6343 
-2.3062 12.5015 -6.0216 32.6415 1.4091 -7.6384 -3.0788 11.7381 -8.0387 30.6481 1.8811 -7.1719 -0.5788 14.6292 
-3.4752 12.4397 -9.0736 32.4801 2.1233 -7.6006 -4.2477 11.6800 -11.0907 30.4966 2.5953 -7.1365 -1.7477 14.5568 
-4.6155 12.3343 -12.0511 32.2048 2.8201 -7.5362 -5.3881 11.5811 -14.0682 30.2381 3.2921 -7.0760 -2.8881 14.4335 
-5.7356 12.1823 -14.9757 31.8079 3.5044 -7.4433 -6.5082 11.4383 -16.9928 29.8654 3.9765 -6.9888 -4.0082 14.2556 
-6.8151 11.9966 -17.7942 31.3231 4.1640 -7.3299 -7.5877 11.2640 -19.8113 29.4102 4.6360 -6.8823 -5.0877 14.0383 
-7.8615 11.7741 -20.5264 30.7423 4.8034 -7.1940 -8.6341 11.0551 -22.5435 28.8648 5.2754 -6.7546 -6.1341 13.7780 
-8.8554 11.7418 -23.1215 30.6578 5.4106 -7.1742 -9.6280 11.0247 -25.1387 28.7855 5.8827 -6.7361 -7.1280 13.7401 
-9.8033 11.7305 -25.5964 30.6282 5.9898 -7.1673 -10.5759 11.0141 -27.6135 28.7577 6.4618 -6.7296 -8.0759 13.7268 
-10.6870 11.6777 -27.9036 30.4906 6.5297 -7.1351 -11.4595 10.9646 -29.9207 28.6285 7.0017 -6.6993 -8.9595 13.6652 
-11.5064 11.5850 -30.0432 30.2483 7.0304 -7.0784 -12.2789 10.8775 -32.0603 28.4010 7.5024 -6.6461 -9.7789 13.5566 
-12.2600 11.4534 -32.0109 29.9047 7.4908 -6.9980 -13.0326 10.7539 -34.0280 28.0785 7.9629 -6.5706 -10.5326 13.4026 
-12.9322 11.2944 -33.7659 29.4896 7.9015 -6.9008 -13.7047 10.6046 -35.7830 27.6886 8.3735 -6.4794 -11.2047 13.2165 
-13.5251 11.3987 -35.3141 29.7619 8.2638 -6.9646 -14.2977 10.7026 -37.3312 27.9444 8.7358 -6.5392 -11.7977 13.3386 
-14.0253 11.7476 -36.6199 30.6730 8.5694 -7.1778 -14.7978 11.0302 -38.6370 28.7999 9.0414 -6.7394 -12.2978 13.7470 
-14.4327 12.0377 -37.6836 31.4304 8.8183 -7.3550 -15.2052 11.3026 -39.7008 29.5110 9.2903 -6.9058 -12.7052 14.0864 
-14.7361 12.2820 -38.4758 32.0683 9.0037 -7.5043 -15.5086 11.5320 -40.4929 30.1099 9.4757 -7.0460 -13.0086 14.3723 
-14.9322 12.4832 -38.9878 32.5936 9.1235 -7.6272 -15.7047 11.7209 -41.0049 30.6032 9.5955 -7.1614 -13.2047 14.6077 
-15.0150 12.6436 -39.2041 33.0124 9.1741 -7.7252 -15.7875 11.8715 -41.2212 30.9963 9.6461 -7.2534 -13.2875 14.7954 
-14.9773 12.9642 -39.1058 33.8494 9.1511 -7.9211 -15.7499 12.1725 -41.1229 31.7822 9.6231 -7.4373 -13.2499 15.1705 
-14.8125 13.7557 -38.6754 35.9161 9.0504 -8.4047 -15.5850 12.9157 -40.6925 33.7227 9.5224 -7.8914 -13.0850 16.0968 
-14.5164 14.4307 -37.9022 37.6786 8.8695 -8.8171 -15.2889 13.5495 -39.9193 35.3776 9.3415 -8.2787 -12.7889 16.8867 
-14.0790 14.9942 -36.7602 39.1497 8.6022 -9.1614 -14.8515 14.0785 -38.7773 36.7589 9.0742 -8.6019 -12.3515 17.5460 
-13.4997 15.4653 -35.2476 40.3798 8.2483 -9.4492 -14.2722 14.5208 -37.2647 37.9139 8.7203 -8.8722 -11.7722 18.0973 
-12.7649 15.8474 -33.3291 41.3775 7.7993 -9.6827 -13.5374 14.8796 -35.3462 38.8506 8.2713 -9.0914 -11.0374 18.5445 
-11.8777 16.1587 -31.0126 42.1903 7.2572 -9.8729 -12.6502 15.1719 -33.0297 39.6137 7.7293 -9.2700 -10.1502 18.9087

 I-5 
a) UnAnneal,Sx (continued) 
In Metric Unit 
Unit Conv: 1.0000 in = 25.4000 mm 1.0000 ksi = 6.8948 MPa 1.0000 ksi-in^0.5= 1.0988 MPa-m^0.5 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Depth Stress: Sx K(Sx) w/GF Stress: Sx K(Sx) w/GF Stress: Sx K(Sx) w/GF Stress: Sx K(Sx) w/GF Stress: Sx K(Sx) w/GF Stress: Sx K(Sx) w/GF 
(mm) MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 
0.3988 119.4598 4.5146 311.9092 11.7876 -72.9896 -2.7584 118.6162 4.4608 309.7065 11.6472 -72.4741 -2.7256 
0.8001 121.6510 6.5821 317.6305 17.1859 -74.3284 -4.0216 120.8074 6.5037 315.4277 16.9811 -73.8129 -3.9737 
1.1989 122.9098 8.2395 320.9172 21.5133 -75.0975 -5.0343 122.0662 8.1414 318.7145 21.2571 -74.5820 -4.9743 
1.6002 123.2952 9.6422 321.9234 25.1758 -75.3330 -5.8914 122.4516 9.5274 319.7206 24.8759 -74.8175 -5.8212 
1.9990 122.8448 10.8381 320.7473 28.2983 -75.0578 -6.6221 122.0012 10.7090 318.5446 27.9612 -74.5423 -6.5432 
2.4003 121.5958 11.8425 317.4862 30.9208 -74.2946 -7.2357 120.7521 11.7015 315.2835 30.5525 -73.7792 -7.1495 
2.7991 119.6065 12.8589 312.2922 33.5744 -73.0792 -7.8567 118.7629 12.7057 310.0895 33.1745 -72.5637 -7.7631 
3.2004 116.8946 13.7858 305.2114 35.9946 -71.4222 -8.4231 116.0510 13.6216 303.0087 35.5659 -70.9067 -8.3227 
3.5992 113.5369 14.5688 296.4444 38.0390 -69.3706 -8.9015 112.6932 14.3952 294.2417 37.5859 -68.8552 -8.7954 
3.9980 109.5607 15.2083 286.0626 39.7089 -66.9412 -9.2922 108.7171 15.0272 283.8599 39.2359 -66.4258 -9.1816 
4.3993 104.9776 15.7061 274.0963 41.0085 -64.1410 -9.5964 104.1340 15.5190 271.8936 40.5200 -63.6255 -9.4821 
4.7981 99.8883 16.0778 260.8080 41.9792 -61.0314 -9.8235 99.0447 15.8863 258.6053 41.4792 -60.5160 -9.7065 
5.1994 94.2707 16.4072 246.1405 42.8392 -57.5991 -10.0248 93.4271 16.2118 243.9378 42.3289 -57.0836 -9.9053 
5.5982 88.2385 16.7029 230.3905 43.6113 -53.9134 -10.2054 87.3949 16.5040 228.1878 43.0918 -53.3980 -10.0839 
5.9995 81.7579 16.8783 213.4695 44.0691 -49.9538 -10.3126 80.9142 16.6772 211.2668 43.5442 -49.4383 -10.1897 
6.3983 74.9532 16.9527 195.7027 44.2636 -45.7962 -10.3581 74.1096 16.7508 193.4999 43.7363 -45.2807 -10.2347 
6.7970 67.8273 16.9314 177.0968 44.2078 -41.4422 -10.3450 66.9836 16.7297 174.8940 43.6812 -40.9268 -10.2218 
7.1984 60.3743 16.8188 157.6370 43.9139 -36.8885 -10.2762 59.5306 16.6185 155.4343 43.3908 -36.3730 -10.1538 
7.5971 52.7311 16.7108 137.6808 43.6319 -32.2185 -10.2103 51.8875 16.5118 135.4781 43.1122 -31.7031 -10.0886 
7.9985 44.8434 16.7482 117.0860 43.7294 -27.3992 -10.2331 43.9998 16.5487 114.8833 43.2086 -26.8837 -10.1112 
8.3972 36.8535 16.7231 96.2244 43.6640 -22.5174 -10.2178 36.0099 16.5239 94.0217 43.1439 -22.0019 -10.0961 
8.7986 28.7025 16.6321 74.9422 43.4263 -17.5372 -10.1621 27.8589 16.4340 72.7395 42.9090 -17.0217 -10.0411 
9.1973 20.5362 16.4938 53.6200 43.0653 -12.5476 -10.0777 19.6926 16.2974 51.4173 42.5523 -12.0321 -9.9576 
9.5987 12.2935 16.3042 32.0982 42.5702 -7.5113 -9.9618 11.4498 16.1100 29.8954 42.0632 -6.9958 -9.8432 
9.9974 4.1211 16.0808 10.7602 41.9870 -2.5180 -9.8253 3.2775 15.8893 8.5575 41.4869 -2.0025 -9.7083 
10.3962 -3.9906 16.0751 -10.4195 41.9722 2.4383 -9.8219 -4.8343 15.8837 -12.6222 41.4722 2.9537 -9.7049 
10.7975 -12.0500 15.9957 -31.4625 41.7647 7.3625 -9.7733 -12.8936 15.8052 -33.6653 41.2672 7.8780 -9.6569 
11.1963 -19.9125 15.8601 -51.9914 41.4107 12.1665 -9.6905 -20.7561 15.6712 -54.1942 40.9175 12.6819 -9.5751 
11.5976 -27.6353 15.6646 -72.1557 40.9003 16.8851 -9.5710 -28.4789 15.4780 -74.3584 40.4131 17.4005 -9.4570 
11.9964 -35.0781 15.4259 -91.5889 40.2770 21.4326 -9.4252 -35.9218 15.2422 -93.7916 39.7972 21.9481 -9.3129 
12.3977 -42.2929 15.1398 -110.4267 39.5301 25.8408 -9.2504 -43.1366 14.9595 -112.6294 39.0592 26.3563 -9.1402 
12.7965 -49.1458 15.0982 -128.3194 39.4214 30.0279 -9.2250 -49.9894 14.9184 -130.5222 38.9519 30.5434 -9.1151 
13.1978 -55.6811 15.0836 -145.3831 39.3834 34.0209 -9.2161 -56.5247 14.9040 -147.5858 38.9143 34.5364 -9.1063 
13.5966 -61.7735 15.0159 -161.2905 39.2064 37.7434 -9.1746 -62.6172 14.8370 -163.4932 38.7394 38.2589 -9.0654 
13.9954 -67.4234 14.8966 -176.0423 38.8949 41.1955 -9.1017 -68.2670 14.7191 -178.2450 38.4316 41.7109 -8.9933 
14.3967 -72.6196 14.7274 -189.6095 38.4531 44.3703 -8.9984 -73.4632 14.5519 -191.8123 37.9951 44.8858 -8.8912 
14.7955 -77.2538 14.5229 -201.7094 37.9193 47.2018 -8.8734 -78.0974 14.3499 -203.9122 37.4676 47.7173 -8.7678 
15.1968 -81.3421 14.6570 -212.3841 38.2695 49.6998 -8.9554 -82.1858 14.4825 -214.5868 37.8136 50.2152 -8.8487 
15.5956 -84.7903 15.1057 -221.3872 39.4411 51.8066 -9.2296 -85.6340 14.9258 -223.5900 38.9713 52.3221 -9.1196 
15.9969 -87.5993 15.4787 -228.7216 40.4149 53.5229 -9.4575 -88.4430 15.2944 -230.9243 39.9335 54.0384 -9.3448 
16.3957 -89.6911 15.7929 -234.1832 41.2351 54.8010 -9.6494 -90.5347 15.6048 -236.3859 40.7440 55.3164 -9.5345 
16.7945 -91.0432 16.0516 -237.7135 41.9106 55.6271 -9.8075 -91.8868 15.8604 -239.9162 41.4114 56.1425 -9.6906 
17.1958 -91.6143 16.2578 -239.2047 42.4491 55.9760 -9.9335 -92.4580 16.0642 -241.4074 41.9435 56.4915 -9.8152 
17.5946 -91.3547 16.6700 -238.5269 43.5254 55.8174 -10.1853 -92.1984 16.4715 -240.7296 43.0070 56.3329 -10.0640 
17.9959 -90.2182 17.6878 -235.5593 46.1829 55.1230 -10.8072 -91.0618 17.4771 -237.7621 45.6328 55.6385 -10.6785 
18.3947 -88.1765 18.5558 -230.2285 48.4492 53.8755 -11.3375 -89.0201 18.3348 -232.4313 47.8721 54.3910 -11.2025 
18.7960 -85.1608 19.2803 -222.3545 50.3408 52.0330 -11.7802 -86.0044 19.0507 -224.5573 49.7412 52.5484 -11.6399 
19.1948 -81.1667 19.8861 -211.9259 51.9226 49.5926 -12.1503 -82.0103 19.6492 -214.1286 51.3041 50.1080 -12.0056 
19.5961 -76.1004 20.3775 -198.6978 53.2055 46.4971 -12.4506 -76.9440 20.1347 -200.9005 52.5717 47.0125 -12.3023 
19.9949 -69.9834 20.7777 -182.7265 54.2505 42.7596 -12.6951 -70.8271 20.5302 -184.9292 53.6043 43.2751 -12.5439

 I-6 
a) UnAnneal,Sx (continued) 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Stress: Sx K(Sx) w/GF Stress: Sx K(Sx) w/GF Stress: Sx K(Sx) w/GF Stress: Sx K(Sx) w/GF Stress: Sx K(Sx) w/GF Stress: Sx K(Sx) w/GF 
MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 
116.1679 4.3118 303.3140 11.2581 -70.9782 -2.6345 112.3545 4.0985 293.3573 10.7012 -68.6482 -2.5042 
118.3591 6.2864 309.0352 16.4138 -72.3170 -3.8410 114.5457 5.9754 299.0785 15.6018 -69.9871 -3.6510 
119.6179 7.8693 312.3219 20.5468 -73.0861 -4.8081 115.8045 7.4801 302.3653 19.5304 -70.7562 -4.5703 
120.0033 9.2090 313.3281 24.0447 -73.3216 -5.6267 116.1899 8.7535 303.3715 22.8553 -70.9916 -5.3483 
119.5528 10.3512 312.1521 27.0270 -73.0464 -6.3246 115.7395 9.8392 302.1954 25.6900 -70.7164 -6.0117 
118.3038 11.3105 308.8909 29.5316 -72.2832 -6.9107 114.4905 10.7510 298.9343 28.0708 -69.9533 -6.5688 
116.3146 12.2812 303.6970 32.0661 -71.0678 -7.5037 112.5012 11.6737 293.7403 30.4799 -68.7379 -7.1326 
113.6026 13.1664 296.6161 34.3776 -69.4108 -8.0447 109.7893 12.5151 286.6595 32.6770 -67.0809 -7.6467 
110.2449 13.9142 287.8491 36.3300 -67.3593 -8.5016 106.4316 13.2259 277.8925 34.5329 -65.0293 -8.0810 
106.2687 14.5251 277.4673 37.9249 -64.9298 -8.8748 102.4554 13.8066 267.5107 36.0489 -62.5999 -8.4358 
101.6857 15.0005 265.5010 39.1662 -62.1296 -9.1652 97.8723 14.2584 255.5444 37.2287 -59.7997 -8.7119 
96.5963 15.3555 252.2127 40.0932 -59.0200 -9.3822 92.7830 14.5959 242.2561 38.1099 -56.6901 -8.9181 
90.9787 15.6701 237.5452 40.9146 -55.5877 -9.5744 87.1654 14.8950 227.5886 38.8907 -53.2578 -9.1008 
84.9466 15.9525 221.7952 41.6520 -51.9021 -9.7469 81.1332 15.1634 211.8386 39.5916 -49.5721 -9.2648 
78.4659 16.1200 204.8742 42.0893 -47.9424 -9.8493 74.6526 15.3226 194.9176 40.0072 -45.6125 -9.3621 
71.6613 16.1911 187.1074 42.2750 -43.7848 -9.8927 67.8479 15.3902 177.1508 40.1838 -41.4549 -9.4034 
64.5353 16.1707 168.5015 42.2217 -39.4309 -9.8803 60.7220 15.3708 158.5448 40.1332 -37.1009 -9.3915 
57.0823 16.0632 149.0417 41.9410 -34.8771 -9.8146 53.2690 15.2686 139.0851 39.8663 -32.5472 -9.3291 
49.4392 15.9601 129.0855 41.6717 -30.2072 -9.7516 45.6258 15.1706 119.1289 39.6103 -27.8772 -9.2692 
41.5515 15.9958 108.4907 41.7649 -25.3878 -9.7734 37.7381 15.2045 98.5341 39.6989 -23.0579 -9.2899 
33.5616 15.9718 87.6291 41.7023 -20.5060 -9.7587 29.7482 15.1817 77.6725 39.6394 -18.1761 -9.2760 
25.4106 15.8849 66.3470 41.4753 -15.5258 -9.7056 21.5972 15.0991 56.3903 39.4237 -13.1958 -9.2255 
17.2443 15.7528 45.0247 41.1306 -10.5362 -9.6249 13.4309 14.9736 35.0681 39.0960 -8.2063 -9.1488 
9.0015 15.5717 23.5029 40.6577 -5.4999 -9.5143 5.1882 14.8014 13.5463 38.6465 -3.1699 -9.0436 
0.8292 15.3584 2.1649 40.1007 -0.5066 -9.3839 -2.9842 14.5987 -7.7917 38.1171 1.8233 -8.9197 
-7.2826 15.3530 -19.0148 40.0865 4.4496 -9.3806 -11.0959 14.5935 -28.9714 38.1036 6.7796 -8.9166 
-15.3420 15.2771 -40.0578 39.8884 9.3739 -9.3342 -19.1553 14.5213 -50.0144 37.9152 11.7038 -8.8725 
-23.2044 15.1476 -60.5867 39.5503 14.1778 -9.2551 -27.0178 14.3983 -70.5433 37.5939 16.5078 -8.7973 
-30.9272 14.9609 -80.7509 39.0628 18.8964 -9.1411 -34.7406 14.2208 -90.7076 37.1305 21.2264 -8.6889 
-38.3701 14.7329 -100.1842 38.4675 23.4440 -9.0017 -42.1834 14.0041 -110.1408 36.5646 25.7739 -8.5564 
-45.5849 14.4597 -119.0220 37.7541 27.8522 -8.8348 -49.3982 13.7444 -128.9786 35.8865 30.1821 -8.3978 
-52.4377 14.4199 -136.9147 37.6504 32.0393 -8.8105 -56.2511 13.7066 -146.8714 35.7879 34.3692 -8.3747 
-58.9730 14.4060 -153.9783 37.6140 36.0323 -8.8020 -62.7864 13.6934 -163.9350 35.7534 38.3623 -8.3666 
-65.0655 14.3413 -169.8858 37.4450 39.7548 -8.7625 -68.8788 13.6319 -179.8424 35.5927 42.0847 -8.3290 
-70.7154 14.2273 -184.6376 37.1475 43.2068 -8.6928 -74.5287 13.5235 -194.5942 35.3099 45.5368 -8.2628 
-75.9116 14.0657 -198.2048 36.7256 46.3817 -8.5941 -79.7249 13.3699 -208.1615 34.9089 48.7116 -8.1690 
-80.5458 13.8705 -210.3047 36.2157 49.2132 -8.4748 -84.3591 13.1843 -220.2614 34.4242 51.5431 -8.0556 
-84.6341 13.9986 -220.9794 36.5502 51.7112 -8.5531 -88.4474 13.3061 -230.9360 34.7422 54.0411 -8.1300 
-88.0823 14.4271 -229.9825 37.6691 53.8180 -8.8149 -91.8956 13.7134 -239.9392 35.8058 56.1479 -8.3789 
-90.8913 14.7833 -237.3169 38.5992 55.5343 -9.0326 -94.7046 14.0521 -247.2735 36.6899 57.8642 -8.5858 
-92.9831 15.0834 -242.7784 39.3826 56.8123 -9.2159 -96.7964 14.3372 -252.7351 37.4345 59.1423 -8.7600 
-94.3351 15.3305 -246.3088 40.0278 57.6385 -9.3669 -98.1485 14.5721 -256.2654 38.0477 59.9684 -8.9035 
-94.9063 15.5274 -247.8000 40.5421 57.9874 -9.4872 -98.7196 14.7593 -257.7566 38.5366 60.3174 -9.0179 
-94.6467 15.9211 -247.1222 41.5700 57.8288 -9.7277 -98.4600 15.1335 -257.0788 39.5136 60.1587 -9.2465 
-93.5101 16.8932 -244.1546 44.1081 57.1344 -10.3217 -97.3235 16.0575 -254.1112 41.9262 59.4643 -9.8111 
-91.4684 17.7222 -238.8238 46.2726 55.8869 -10.8282 -95.2818 16.8455 -248.7804 43.9836 58.2169 -10.2926 
-88.4527 18.4141 -230.9498 48.0792 54.0443 -11.2510 -92.2661 17.5032 -240.9064 45.7009 56.3743 -10.6944 
-84.4586 18.9927 -220.5212 49.5899 51.6039 -11.6045 -88.2720 18.0532 -230.4778 47.1368 53.9339 -11.0304 
-79.3923 19.4620 -207.2931 50.8152 48.5084 -11.8912 -83.2057 18.4993 -217.2497 48.3015 50.8384 -11.3030 
-73.2754 19.8442 -191.3218 51.8133 44.7710 -12.1248 -77.0887 18.8626 -201.2784 49.2502 47.1010 -11.5250

 I-7 
a) UnAnneal,Sx (continued) 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Stress: Sx K(Sx) w/GF Stress: Sx K(Sx) w/GF Stress: Sx K(Sx) w/GF Stress: Sx K(Sx) w/GF Stress: Sx K(Sx) w/GF Stress: Sx K(Sx) w/GF 
MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 
107.5494 3.8580 280.8112 10.0733 -65.7123 -2.3572 102.2229 3.6224 266.9038 9.4581 -62.4579 -2.2133 
109.7406 5.6248 286.5324 14.6864 -67.0512 -3.4367 104.4141 5.2813 272.6250 13.7895 -63.7967 -3.2269 
110.9994 7.0412 289.8192 18.3845 -67.8203 -4.3021 105.6730 6.6112 275.9117 17.2618 -64.5658 -4.0394 
111.3848 8.2399 290.8254 21.5143 -68.0557 -5.0345 106.0583 7.7367 276.9179 20.2004 -64.8013 -4.7271 
110.9344 9.2619 289.6493 24.1827 -67.7805 -5.6590 105.6079 8.6962 275.7419 22.7059 -64.5261 -5.3134 
109.6854 10.1202 286.3882 26.4237 -67.0174 -6.1834 104.3589 9.5021 272.4807 24.8100 -63.7629 -5.8058 
107.6961 10.9887 281.1942 28.6915 -65.8020 -6.7141 102.3696 10.3176 267.2868 26.9393 -62.5475 -6.3040 
104.9842 11.7808 274.1134 30.7597 -64.1450 -7.1980 99.6577 11.0614 260.2059 28.8812 -60.8905 -6.7585 
101.6265 12.4499 265.3464 32.5067 -62.0934 -7.6069 96.3000 11.6896 251.4389 30.5215 -58.8390 -7.1423 
97.6503 12.9965 254.9646 33.9337 -59.6640 -7.9408 92.3238 12.2028 241.0571 31.8614 -56.4095 -7.4559 
93.0672 13.4218 242.9983 35.0443 -56.8638 -8.2007 87.7408 12.6022 229.0908 32.9042 -53.6093 -7.6999 
87.9779 13.7395 229.7100 35.8738 -53.7542 -8.3948 82.6514 12.9005 215.8025 33.6831 -50.4997 -7.8821 
82.3603 14.0210 215.0425 36.6088 -50.3219 -8.5668 77.0338 13.1647 201.1350 34.3731 -47.0674 -8.0436 
76.3281 14.2737 199.2925 37.2686 -46.6362 -8.7212 71.0016 13.4020 185.3850 34.9926 -43.3818 -8.1886 
69.8475 14.4235 182.3715 37.6598 -42.6766 -8.8127 64.5210 13.5427 168.4640 35.3600 -39.4221 -8.2745 
63.0428 14.4872 164.6047 37.8260 -38.5190 -8.8516 57.7164 13.6025 150.6972 35.5160 -35.2645 -8.3111 
55.9169 14.4689 145.9987 37.7784 -34.1650 -8.8405 50.5904 13.5853 132.0913 35.4713 -30.9105 -8.3006 
48.4639 14.3727 126.5390 37.5272 -29.6113 -8.7817 43.1374 13.4950 112.6315 35.2354 -26.3568 -8.2454 
40.8207 14.2805 106.5828 37.2862 -24.9413 -8.7253 35.4942 13.4084 92.6753 35.0092 -21.6869 -8.1925 
32.9330 14.3124 85.9880 37.3696 -20.1220 -8.7448 27.6065 13.4383 72.0805 35.0874 -16.8675 -8.2108 
24.9431 14.2909 65.1264 37.3136 -15.2402 -8.7317 19.6166 13.4182 51.2189 35.0349 -11.9857 -8.1985 
16.7921 14.2132 43.8442 37.1105 -10.2599 -8.6842 11.4656 13.3452 29.9368 34.8442 -7.0055 -8.1539 
8.6258 14.0950 22.5220 36.8020 -5.2704 -8.6120 3.2993 13.2342 8.6145 34.5545 -2.0159 -8.0861 
0.3831 13.9330 1.0002 36.3789 -0.2340 -8.5130 -4.9434 13.0821 -12.9073 34.1573 3.0204 -7.9931 
-7.7893 13.7421 -20.3378 35.8805 4.7592 -8.3964 -13.1158 12.9029 -34.2453 33.6893 8.0137 -7.8836 
-15.9010 13.7372 -41.5175 35.8678 9.7155 -8.3934 -21.2275 12.8983 -55.4250 33.6774 12.9699 -7.8808 
-23.9604 13.6693 -62.5605 35.6905 14.6397 -8.3519 -29.2869 12.8345 -76.4680 33.5109 17.8942 -7.8419 
-31.8229 13.5535 -83.0894 35.3881 19.4437 -8.2811 -37.1494 12.7258 -96.9969 33.2269 22.6981 -7.7754 
-39.5457 13.3864 -103.2537 34.9519 24.1623 -8.1791 -44.8722 12.5689 -117.1611 32.8174 27.4168 -7.6796 
-46.9885 13.1824 -122.6869 34.4192 28.7098 -8.0544 -52.3150 12.3774 -136.5944 32.3172 31.9643 -7.5625 
-54.2033 12.9379 -141.5247 33.7809 33.1180 -7.9050 -59.5298 12.1478 -155.4322 31.7179 36.3725 -7.4223 
-61.0562 12.9024 -159.4175 33.6881 37.3051 -7.8833 -66.3827 12.1144 -173.3249 31.6308 40.5596 -7.4019 
-67.5915 12.8899 -176.4811 33.6556 41.2982 -7.8757 -72.9180 12.1027 -190.3885 31.6002 44.5526 -7.3947 
-73.6839 12.8320 -192.3885 33.5043 45.0206 -7.8403 -79.0104 12.0484 -206.2960 31.4582 48.2751 -7.3615 
-79.3338 12.7300 -207.1403 33.2381 48.4727 -7.7780 -84.6603 11.9526 -221.0477 31.2083 51.7272 -7.3030 
-84.5300 12.5855 -220.7076 32.8606 51.6475 -7.6897 -89.8565 11.8169 -234.6150 30.8538 54.9020 -7.2201 
-89.1642 12.4107 -232.8074 32.4044 54.4790 -7.5829 -94.4907 11.6528 -246.7149 30.4255 57.7335 -7.1198 
-93.2525 12.5254 -243.4821 32.7037 56.9770 -7.6530 -98.5790 11.7604 -257.3895 30.7065 60.2315 -7.1856 
-96.7007 12.9088 -252.4853 33.7049 59.0838 -7.8872 -102.0272 12.1205 -266.3927 31.6465 62.3383 -7.4056 
-99.5097 13.2276 -259.8196 34.5371 60.8001 -8.0820 -104.8362 12.4198 -273.7271 32.4279 64.0546 -7.5884 
-101.6015 13.4960 -265.2812 35.2380 62.0782 -8.2460 -106.9280 12.6718 -279.1886 33.0860 65.3326 -7.7424 
-102.9536 13.7171 -268.8115 35.8153 62.9043 -8.3811 -108.2801 12.8794 -282.7189 33.6281 66.1588 -7.8693 
-103.5247 13.8933 -270.3027 36.2754 63.2533 -8.4888 -108.8512 13.0449 -284.2102 34.0601 66.5077 -7.9704 
-103.2651 14.2456 -269.6249 37.1952 63.0946 -8.7040 -108.5916 13.3756 -283.5323 34.9237 66.3491 -8.1725 
-102.1286 15.1154 -266.6573 39.4662 62.4002 -9.2354 -107.4551 14.1923 -280.5648 37.0560 65.6547 -8.6714 
-100.0869 15.8571 -261.3265 41.4029 61.1528 -9.6886 -105.4134 14.8887 -275.2340 38.8744 64.4072 -9.0970 
-97.0712 16.4762 -253.4525 43.0194 59.3102 -10.0669 -102.3977 15.4700 -267.3600 40.3922 62.5646 -9.4521 
-93.0771 16.9939 -243.0239 44.3711 56.8698 -10.3832 -98.4036 15.9561 -256.9314 41.6614 60.1242 -9.7491 
-88.0108 17.4138 -229.7958 45.4674 53.7743 -10.6398 -93.3372 16.3504 -243.7032 42.6908 57.0287 -9.9900 
-81.8938 17.7559 -213.8245 46.3605 50.0369 -10.8488 -87.2203 16.6715 -227.7320 43.5293 53.2913 -10.1862

 I-8 
b) UnAnneal,SxPlt 
Unannealed, Outer Lid, Crack Originated From Outside Surface, Section 1-1, Sx, at 0 
Deg 
-300 
-200 
-100
0 
100 
200 
300 
400 
0 2 4 6 8 10 12 14 16 18 20 
Distance From Outside Surface (mm) 
Radial Stress (MPa) 
Mean 
Min -Inside Surface 
Max-Inside Surface

 I-9 
c) UnAnneal,KSxPlt 
Unannealed, Outer Lid, Crack Originated From Outside Surface, 
Section 1-1, Sx, at 0 Deg. 
-20 
-10
0 
10 
20 
30 
40 
50 
60
0 2 4 6 8 10 12 14 16 18 20 
Crack Depth from Outside Surface (mm) 
K (MPa-m^0.5) 
Mean 
Min(Stress at Inside Surface) 
Max(Stress at Inside Surface)

 I-10 
d) UnAnneal,Sz 
Results in Metric Unit start in Cell A80 
Angle(deg): 0 18 
(rad): 0 0.3141593 
Scale Facto 1 0.5122261 1.4877739 0.9963501 0.5104393 1.4895607 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Depth Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) 
(in) (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 
0.0157 55.8471 8.3354 28.6063 4.2696 83.0879 12.4012 55.7247 8.3050 28.4441 4.2392 83.0054 12.3708 
0.0315 56.1834 11.8067 28.7786 6.0477 83.5881 17.5657 56.0610 11.8067 28.6157 6.0266 83.5063 17.5868 
0.0472 56.4321 14.4824 28.9060 7.4183 83.9582 21.5465 56.3097 14.4824 28.7427 7.3924 83.8768 21.5724 
0.0630 56.5998 16.7477 28.9919 8.5786 84.2077 24.9168 56.4775 16.7477 28.8283 8.5487 84.1266 24.9467 
0.0787 56.6878 18.7514 29.0370 9.6050 84.3386 27.8978 56.5654 18.7514 28.8732 9.5715 84.2576 27.9313 
0.0945 56.7005 20.5696 29.0435 10.5363 84.3575 30.6029 56.5781 20.5696 28.8797 10.4995 84.2765 30.6397 
0.1102 56.6411 22.2726 29.0130 11.4086 84.2691 33.1366 56.5187 22.2726 28.8494 11.3688 84.1881 33.1764 
0.1260 56.5123 23.8767 28.9471 12.2303 84.0775 35.5231 56.3899 23.8767 28.7836 12.1876 83.9962 35.5658 
0.1417 56.3190 25.3939 28.8480 13.0074 83.7899 37.7804 56.1966 25.3939 28.6850 12.9620 83.7082 37.8258 
0.1574 56.0639 26.8384 28.7174 13.7473 83.4104 39.9295 55.9416 26.8384 28.5548 13.6994 83.3284 39.9774 
0.1732 55.7483 28.2209 28.5557 14.4555 82.9409 41.9863 55.6260 28.2209 28.3937 14.4051 82.8582 42.0367 
0.1889 55.3795 29.5495 28.3668 15.1360 82.3921 43.9630 55.2571 29.5495 28.2054 15.0832 82.3088 44.0158 
0.2047 54.9561 30.8510 28.1500 15.8027 81.7623 45.8993 54.8337 30.8510 27.9893 15.7476 81.6782 45.9544 
0.2204 54.4869 32.1331 27.9096 16.4594 81.0642 47.8068 54.3645 32.1331 27.7498 16.4020 80.9793 47.8642 
0.2362 53.9692 33.3803 27.6445 17.0983 80.2940 49.6623 53.8469 33.3803 27.4856 17.0386 80.2082 49.7220 
0.2519 53.4131 34.5961 27.3596 17.7210 79.4665 51.4712 53.2907 34.5961 27.2017 17.6592 79.3797 51.5330 
0.2676 52.8185 35.7833 27.0550 18.3291 78.5820 53.2375 52.6962 35.7833 26.8982 18.2652 78.4942 53.3014 
0.2834 52.1849 36.9444 26.7305 18.9239 77.6394 54.9649 52.0626 36.9444 26.5748 18.8579 77.5503 55.0309 
0.2991 51.5236 38.0929 26.3917 19.5122 76.6554 56.6736 51.4012 38.0929 26.2372 19.4441 76.5652 56.7417 
0.3149 50.8294 39.2556 26.0362 20.1077 75.6227 58.4035 50.7071 39.2556 25.8829 20.0376 75.5312 58.4736 
0.3306 50.1146 40.3995 25.6700 20.6937 74.5592 60.1053 49.9923 40.3995 25.5180 20.6215 74.4665 60.1775 
0.3464 49.3735 41.5257 25.2904 21.2705 73.4566 61.7809 49.2511 41.5257 25.1397 21.1963 73.3625 61.8551 
0.3621 48.6187 42.6353 24.9038 21.8389 72.3336 63.4317 48.4963 42.6353 24.7544 21.7627 72.2382 63.5079 
0.3779 47.8440 43.7292 24.5070 22.3992 71.1811 65.0592 47.7217 43.7292 24.3590 22.3211 71.0843 65.1373 
0.3936 47.0626 44.8082 24.1067 22.9519 70.0186 66.6645 46.9403 44.8082 23.9602 22.8719 69.9204 66.7445 
0.4093 46.2730 45.9428 23.7023 23.5331 68.8438 68.3525 46.1507 45.9428 23.5571 23.4510 68.7442 68.4346 
0.4251 45.4734 47.0672 23.2927 24.1091 67.6542 70.0253 45.3511 47.0672 23.1490 24.0249 67.5532 70.1095 
0.4408 44.6774 48.1818 22.8849 24.6800 66.4698 71.6836 44.5550 48.1818 22.7426 24.5939 66.3674 71.7697 
0.4566 43.8780 49.2872 22.4755 25.2462 65.2806 73.3282 43.7557 49.2872 22.3346 25.1581 65.1767 73.4163 
0.4723 43.0889 50.3838 22.0713 25.8079 64.1065 74.9597 42.9665 50.3838 21.9318 25.7179 64.0012 75.0497 
0.4881 42.3033 51.4721 21.6688 26.3654 62.9377 76.5788 42.1809 51.4721 21.5308 26.2734 62.8310 76.6708 
0.5038 41.5345 52.6014 21.2751 26.9438 61.7940 78.2590 41.4122 52.6014 21.1384 26.8498 61.6859 78.3530 
0.5196 40.7762 53.7418 20.8866 27.5280 60.6657 79.9556 40.6538 53.7418 20.7513 27.4319 60.5563 80.0517 
0.5353 40.0412 54.8779 20.5102 28.1099 59.5723 81.6459 39.9189 54.8779 20.3762 28.0118 59.4616 81.7440 
0.5510 39.3281 56.0100 20.1449 28.6898 58.5113 83.3302 39.2057 56.0100 20.0121 28.5897 58.3993 83.4303 
0.5668 38.6359 57.1385 19.7903 29.2678 57.4815 85.0092 38.5135 57.1385 19.6588 29.1657 57.3682 85.1113 
0.5825 37.9767 58.2638 19.4526 29.8442 56.5007 86.6834 37.8543 58.2638 19.3223 29.7401 56.3863 86.7875 
0.5983 37.3455 59.4170 19.1293 30.4349 55.5616 88.3991 37.2231 59.4170 19.0001 30.3288 55.4461 88.5052 
0.6140 36.7536 60.5975 18.8261 31.0396 54.6810 90.1554 36.6312 60.5975 18.6980 30.9313 54.5644 90.2637 
0.6298 36.1969 61.7742 18.5410 31.6424 53.8528 91.9060 36.0745 61.7742 18.4139 31.5320 53.7352 92.0164 
0.6455 35.6858 62.9471 18.2792 32.2432 53.0923 93.6510 35.5634 62.9471 18.1530 32.1307 52.9738 93.7635 
0.6612 35.2199 64.1163 18.0405 32.8420 52.3992 95.3906 35.0975 64.1163 17.9152 32.7275 52.2799 95.5051 
0.6770 34.8001 65.2817 17.8255 33.4390 51.7747 97.1244 34.6778 65.2817 17.7009 33.3223 51.6546 97.2411 
0.6927 34.4351 66.4653 17.6386 34.0453 51.2316 98.8853 34.3127 66.4653 17.5146 33.9265 51.1109 99.0041 
0.7085 34.1236 67.7132 17.4790 34.6845 50.7682 100.7419 34.0012 67.7132 17.3556 34.5635 50.6469 100.8629 
0.7242 33.8729 68.9610 17.3506 35.3236 50.3952 102.5984 33.7505 68.9610 17.2276 35.2004 50.2734 102.7216 
0.7400 33.6831 70.2087 17.2534 35.9627 50.1129 104.4547 33.5608 70.2087 17.1307 35.8373 49.9908 104.5801 
0.7557 33.5601 71.4563 17.1904 36.6018 49.9298 106.3108 33.4377 71.4563 17.0679 36.4741 49.8075 106.4385 
0.7715 33.5056 72.7041 17.1625 37.2409 49.8488 108.1673 33.3833 72.7041 17.0401 37.1110 49.7264 108.2972 
0.7872 33.5237 73.9520 17.1717 37.8801 49.8757 110.0239 33.4014 73.9520 17.0494 37.7480 49.7534 110.1560

 I-11 
d) UnAnneal,Sz (continued) 
36 54 
0.6283185 0.9424778 
0.9857576 0.5051787 1.4948213 0.9692595 0.4967562 1.5032438 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) 
(ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 
55.3696 8.3050 27.9716 4.1955 82.7677 12.4145 54.8166 8.3050 27.2305 4.1256 82.4027 12.4844 
55.7059 11.7636 28.1414 5.9427 83.2704 17.5845 55.1528 11.7636 27.3975 5.8436 82.9082 17.6836 
55.9546 14.4295 28.2671 7.2895 83.6422 21.5696 55.4015 14.4295 27.5211 7.1680 83.2820 21.6911 
56.1224 16.6866 28.3518 8.4297 83.8929 24.9434 55.5693 16.6866 27.6044 8.2892 83.5342 25.0840 
56.2103 18.6830 28.3963 9.4382 84.0244 27.9277 55.6572 18.6830 27.6481 9.2809 83.6664 28.0850 
56.2230 20.4945 28.4027 10.3534 84.0433 30.6356 55.6699 20.4945 27.6544 10.1808 83.6855 30.8083 
56.1636 22.1913 28.3727 11.2106 83.9546 33.1720 55.6105 22.1913 27.6249 11.0237 83.5962 33.3589 
56.0348 23.7896 28.3076 12.0180 83.7620 35.5611 55.4817 23.7896 27.5609 11.8176 83.4025 35.7615 
55.8415 25.3012 28.2099 12.7816 83.4731 37.8208 55.2884 25.3012 27.4649 12.5685 83.1120 38.0339 
55.5865 26.7404 28.0811 13.5087 83.0918 39.9722 55.0334 26.7404 27.3382 13.2835 82.7286 40.1974 
55.2709 28.1179 27.9217 14.2046 82.6201 42.0312 54.7178 28.1179 27.1814 13.9677 82.2542 42.2681 
54.9020 29.4416 27.7353 14.8733 82.0687 44.0100 54.3489 29.4416 26.9982 14.6253 81.6997 44.2580 
54.4786 30.7384 27.5215 15.5284 81.4358 45.9484 53.9256 30.7384 26.7879 15.2695 81.0633 46.2073 
54.0094 32.0158 27.2844 16.1737 80.7344 47.8579 53.4563 32.0158 26.5548 15.9041 80.3579 48.1276 
53.4918 33.2585 27.0229 16.8015 79.9606 49.7155 52.9387 33.2585 26.2976 16.5213 79.5798 49.9956 
52.9356 34.4698 26.7419 17.4134 79.1293 51.5262 52.3825 34.4698 26.0213 17.1231 78.7437 51.8166 
52.3411 35.6527 26.4416 18.0110 78.2406 53.2944 51.7880 35.6527 25.7260 17.7107 77.8500 53.5947 
51.7075 36.8096 26.1215 18.5954 77.2934 55.0237 51.1544 36.8096 25.4113 18.2854 76.8975 55.3337 
51.0461 37.9539 25.7874 19.1735 76.3048 56.7342 50.4930 37.9539 25.0827 18.8538 75.9033 57.0539 
50.3520 39.1123 25.4367 19.7587 75.2672 58.4659 49.7989 39.1123 24.7379 19.4293 74.8599 58.7954 
49.6372 40.2520 25.0756 20.3345 74.1987 60.1696 49.0841 40.2520 24.3828 19.9955 73.7854 60.5086 
48.8960 41.3741 24.7012 20.9013 73.0908 61.8469 48.3429 41.3741 24.0147 20.5529 72.6712 62.1954 
48.1412 42.4797 24.3199 21.4598 71.9625 63.4995 47.5881 42.4797 23.6397 21.1020 71.5366 63.8573 
47.3666 43.5696 23.9286 22.0104 70.8045 65.1288 46.8135 43.5696 23.2549 21.6435 70.3721 65.4957 
46.5852 44.6447 23.5338 22.5535 69.6365 66.7358 46.0321 44.6447 22.8667 22.1775 69.1975 67.1118 
45.7956 45.7751 23.1349 23.1246 68.4562 68.4256 45.2425 45.7751 22.4745 22.7391 68.0105 68.8112 
44.9960 46.8954 22.7310 23.6906 67.2610 70.1003 44.4429 46.8954 22.0773 23.2956 66.8085 70.4952 
44.1999 48.0059 22.3288 24.2516 66.0710 71.7603 43.6468 48.0059 21.6818 23.8472 65.6118 72.1646 
43.4006 49.1073 21.9250 24.8080 64.8761 73.4066 42.8475 49.1073 21.2847 24.3944 64.4102 73.8203 
42.6114 50.1999 21.5264 25.3599 63.6965 75.0399 42.0583 50.1999 20.8927 24.9371 63.2239 75.4627 
41.8258 51.2842 21.1295 25.9077 62.5221 76.6608 41.2727 51.2842 20.5025 25.4758 62.0430 77.0927 
41.0571 52.4094 20.7412 26.4761 61.3730 78.3427 40.5040 52.4094 20.1206 26.0347 60.8874 78.7841 
40.2987 53.5456 20.3581 27.0501 60.2394 80.0412 39.7456 53.5456 19.7439 26.5991 59.7474 80.4922 
39.5638 54.6776 19.9868 27.6220 59.1407 81.7332 39.0107 54.6776 19.3788 27.1614 58.6426 82.1938 
38.8506 55.8056 19.6265 28.1918 58.0748 83.4194 38.2976 55.8056 19.0245 27.7218 57.5706 83.8894 
38.1584 56.9299 19.2768 28.7598 57.0400 85.1001 37.6053 56.9299 18.6807 28.2803 56.5300 85.5796 
37.4992 58.0511 18.9438 29.3262 56.0546 86.7761 36.9461 58.0511 18.3532 28.8373 55.5391 87.2650 
36.8680 59.2001 18.6249 29.9066 55.1111 88.4936 36.3149 59.2001 18.0397 29.4080 54.5902 88.9922 
36.2761 60.3763 18.3259 30.5008 54.2263 90.2518 35.7230 60.3763 17.7456 29.9923 53.7004 90.7603 
35.7194 61.5487 18.0447 31.0931 53.3942 92.0044 35.1663 61.5487 17.4691 30.5747 52.8636 92.5227 
35.2083 62.7173 17.7865 31.6835 52.6301 93.7512 34.6552 62.7173 17.2152 31.1552 52.0952 94.2795 
34.7424 63.8823 17.5511 32.2720 51.9337 95.4926 34.1893 63.8823 16.9838 31.7339 51.3949 96.0306 
34.3227 65.0434 17.3391 32.8586 51.3062 97.2283 33.7696 65.0434 16.7752 32.3107 50.7639 97.7761 
33.9576 66.2227 17.1547 33.4543 50.7606 98.9911 33.4046 66.2227 16.5939 32.8965 50.2152 99.5489 
33.6461 67.4661 16.9973 34.0824 50.2950 100.8497 33.0931 67.4661 16.4392 33.5142 49.7469 101.4179 
33.3954 68.7093 16.8706 34.7105 49.9202 102.7081 32.8423 68.7093 16.3146 34.1318 49.3700 103.2868 
33.2057 69.9524 16.7748 35.3385 49.6365 104.5664 32.6526 69.9524 16.2204 34.7493 49.0848 105.1556 
33.0826 71.1955 16.7126 35.9664 49.4526 106.4245 32.5296 71.1955 16.1593 35.3668 48.8999 107.0242 
33.0282 72.4387 16.6851 36.5945 49.3712 108.2830 32.4751 72.4387 16.1322 35.9844 48.8180 108.8931 
33.0463 73.6821 16.6943 37.2226 49.3983 110.1415 32.4932 73.6821 16.1412 36.6020 48.8452 110.7621

 I-12 
d) UnAnneal,Sz (continued) 
72 90 
1.2566371 1.5707963 
0.9484706 0.4857259 1.5142741 0.925426 0.4729196 1.5270804 From Analyses 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface Mean 
Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) 
(ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 
54.1196 8.3050 26.2873 4.0339 81.9520 12.5760 53.3471 8.3050 25.2289 3.9276 81.4653 12.6824 55.8471 8.3354 
54.4559 11.7636 26.4506 5.7139 82.4612 17.8133 53.6834 11.7636 25.3879 5.5632 81.9788 17.9640 56.1834 11.8067 
54.7046 14.4295 26.5715 7.0088 82.8378 21.8503 53.9321 14.4295 25.5055 6.8240 82.3586 22.0351 56.4321 14.4824 
54.8724 16.6866 26.6529 8.1051 83.0918 25.2680 54.0998 16.6866 25.5849 7.8914 82.6148 25.4817 56.5998 16.7477 
54.9603 18.6830 26.6956 9.0748 83.2250 28.2911 54.1878 18.6830 25.6265 8.8355 82.7491 28.5304 56.6878 18.7514 
54.9730 20.4945 26.7018 9.9547 83.2442 31.0343 54.2005 20.4945 25.6325 9.6923 82.7685 31.2968 56.7005 20.5696 
54.9136 22.1913 26.6730 10.7789 83.1543 33.6037 54.1411 22.1913 25.6044 10.4947 82.6778 33.8879 56.6411 22.2726 
54.7848 23.7896 26.6104 11.5552 82.9592 36.0239 54.0123 23.7896 25.5435 11.2505 82.4811 36.3286 56.5123 23.8767 
54.5915 25.3012 26.5165 12.2895 82.6665 38.3130 53.8190 25.3012 25.4520 11.9654 82.1859 38.6370 56.3190 25.3939 
54.3365 26.7404 26.3926 12.9885 82.2803 40.4924 53.5639 26.7404 25.3314 12.6461 81.7964 40.8348 56.0639 26.8384 
54.0209 28.1179 26.2393 13.6576 81.8024 42.5782 53.2483 28.1179 25.1822 13.2975 81.3145 42.9383 55.7483 28.2209 
53.6520 29.4416 26.0602 14.3006 81.2439 44.5827 52.8795 29.4416 25.0077 13.9235 80.7512 44.9598 55.3795 29.5495 
53.2286 30.7384 25.8545 14.9304 80.6028 46.5464 52.4561 30.7384 24.8075 14.5368 80.1047 46.9400 54.9561 30.8510 
52.7594 32.0158 25.6266 15.5509 79.8922 48.4807 51.9869 32.0158 24.5856 15.1409 79.3881 48.8907 54.4869 32.1331 
52.2418 33.2585 25.3752 16.1545 79.1084 50.3624 51.4692 33.2585 24.3408 15.7286 78.5977 50.7883 53.9692 33.3803 
51.6856 34.4698 25.1050 16.7429 78.2662 52.1968 50.9131 34.4698 24.0778 16.3015 77.7483 52.6382 53.4131 34.5961 
51.0911 35.6527 24.8163 17.3174 77.3659 53.9880 50.3185 35.6527 23.7966 16.8609 76.8405 54.4445 52.8185 35.7833 
50.4575 36.8096 24.5085 17.8794 76.4064 55.7398 49.6849 36.8096 23.4970 17.4080 75.8729 56.2112 52.1849 36.9444 
49.7961 37.9539 24.1873 18.4352 75.4049 57.4726 49.0236 37.9539 23.1842 17.9491 74.8629 57.9586 51.5236 38.0929 
49.1020 39.1123 23.8501 18.9979 74.3538 59.2268 48.3294 39.1123 22.8559 18.4970 73.8029 59.7277 50.8294 39.2556 
48.3872 40.2520 23.5029 19.5515 73.2714 60.9526 47.6146 40.2520 22.5179 19.0360 72.7114 61.4681 50.1146 40.3995 
47.6460 41.3741 23.1429 20.0965 72.1491 62.6518 46.8735 41.3741 22.1674 19.5666 71.5796 63.1816 49.3735 41.5257 
46.8912 42.4797 22.7763 20.6335 71.0062 64.3259 46.1187 42.4797 21.8104 20.0895 70.4269 64.8699 48.6187 42.6353 
46.1166 43.5696 22.4000 21.1629 69.8331 65.9763 45.3440 43.5696 21.4441 20.6049 69.2440 66.5343 47.8440 43.7292 
45.3352 44.6447 22.0205 21.6851 68.6499 67.6042 44.5626 44.6447 21.0745 21.1133 68.0507 68.1760 47.0626 44.8082 
44.5456 45.7751 21.6369 22.2342 67.4542 69.3161 43.7730 45.7751 20.7011 21.6479 66.8449 69.9023 46.2730 45.9428 
43.7460 46.8954 21.2486 22.7783 66.2434 71.0125 42.9734 46.8954 20.3230 22.1778 65.6239 71.6131 45.4734 47.0672 
42.9499 48.0059 20.8619 23.3177 65.0379 72.6942 42.1774 48.0059 19.9465 22.7030 64.4082 73.3089 44.6774 48.1818 
42.1506 49.1073 20.4736 23.8527 63.8275 74.3619 41.3780 49.1073 19.5685 23.2238 63.1876 74.9908 43.8780 49.2872 
41.3614 50.1999 20.0903 24.3834 62.6325 76.0164 40.5889 50.1999 19.1953 23.7405 61.9825 76.6593 43.0889 50.3838 
40.5758 51.2842 19.7087 24.9101 61.4429 77.6584 39.8033 51.2842 18.8238 24.2533 60.7828 78.3151 42.3033 51.4721 
39.8071 52.4094 19.3353 25.4566 60.2788 79.3622 39.0345 52.4094 18.4602 24.7854 59.6088 80.0334 41.5345 52.6014 
39.0487 53.5456 18.9670 26.0085 59.1305 81.0828 38.2762 53.5456 18.1016 25.3228 58.4508 81.7685 40.7762 53.7418 
38.3138 54.6776 18.6100 26.5583 58.0175 82.7969 37.5412 54.6776 17.7540 25.8581 57.3284 83.4971 40.0412 54.8779 
37.6006 55.8056 18.2636 27.1062 56.9377 84.5049 36.8281 55.8056 17.4167 26.3915 56.2395 85.2196 39.3281 56.0100 
36.9084 56.9299 17.9274 27.6524 55.8895 86.2075 36.1359 56.9299 17.0894 26.9233 55.1824 86.9366 38.6359 57.1385 
36.2492 58.0511 17.6072 28.1969 54.8913 87.9053 35.4767 58.0511 16.7776 27.4535 54.1757 88.6488 37.9767 58.2638 
35.6180 59.2001 17.3006 28.7550 53.9354 89.6452 34.8455 59.2001 16.4791 27.9969 53.2118 90.4034 37.3455 59.4170 
35.0261 60.3763 17.0131 29.3263 53.0392 91.4263 34.2536 60.3763 16.1992 28.5531 52.3080 92.1995 36.7536 60.5975 
34.4694 61.5487 16.7427 29.8958 52.1962 93.2016 33.6969 61.5487 15.9359 29.1076 51.4578 93.9899 36.1969 61.7742 
33.9583 62.7173 16.4944 30.4634 51.4222 94.9713 33.1858 62.7173 15.6942 29.6603 50.6773 95.7744 35.6858 62.9471 
33.4924 63.8823 16.2681 31.0293 50.7167 96.7353 32.7199 63.8823 15.4739 30.2112 49.9659 97.5534 35.2199 64.1163 
33.0727 65.0434 16.0642 31.5933 50.0811 98.4936 32.3001 65.0434 15.2754 30.7603 49.3249 99.3265 34.8001 65.2817 
32.7076 66.2227 15.8870 32.1661 49.5283 100.2793 31.9351 66.2227 15.1027 31.3180 48.7675 101.1274 34.4351 66.4653 
32.3961 67.4661 15.7356 32.7700 49.0566 102.1621 31.6236 67.4661 14.9554 31.9060 48.2918 103.0261 34.1236 67.7132 
32.1454 68.7093 15.6139 33.3739 48.6770 104.0447 31.3729 68.7093 14.8368 32.4940 47.9089 104.9246 33.8729 68.9610 
31.9557 69.9524 15.5217 33.9777 48.3896 105.9272 31.1831 69.9524 14.7471 33.0819 47.6191 106.8230 33.6831 70.2087 
31.8326 71.1955 15.4619 34.5815 48.2033 107.8095 31.0601 71.1955 14.6889 33.6697 47.4313 108.7212 33.5601 71.4563 
31.7782 72.4387 15.4355 35.1854 48.1209 109.6921 31.0056 72.4387 14.6632 34.2577 47.3481 110.6198 33.5056 72.7041 
31.7963 73.6821 15.4443 35.7893 48.1483 111.5749 31.0237 73.6821 14.6717 34.8457 47.3757 112.5185 33.5237 73.9520

 I-13 
d) UnAnneal,Sz (continued) 
In Metric Unit 
Unit Conv: 1.0000 in = 25.4000 mm 1.0000 ksi = 6.8948 MPa 1.0000 ksi-in^0.5= 1.0988 MPa-m^0.5 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Depth Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) 
(mm) MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 
0.3988 385.0522 9.1593 197.2338 4.6916 572.8706 13.6270 384.2086 9.1259 196.1151 4.6582 572.3020 13.5935 
0.8001 387.3707 12.9737 198.4214 6.6455 576.3199 19.3019 386.5270 12.9737 197.2986 6.6223 575.7555 19.3251 
1.1989 389.0855 15.9139 199.2998 8.1515 578.8713 23.6763 388.2419 15.9139 198.1739 8.1231 578.3099 23.7047 
1.6002 390.2419 18.4031 199.8921 9.4265 580.5918 27.3796 389.3983 18.4031 198.7642 9.3937 580.0324 27.4125 
1.9990 390.8484 20.6048 200.2028 10.5543 581.4940 30.6553 390.0048 20.6048 199.0738 10.5175 580.9358 30.6922 
2.4003 390.9359 22.6028 200.2476 11.5777 581.6242 33.6278 390.0923 22.6028 199.1184 11.5373 581.0661 33.6682 
2.7991 390.5265 24.4741 200.0379 12.5363 581.0151 36.4119 389.6829 24.4741 198.9095 12.4925 580.4563 36.4556 
3.2004 389.6383 26.2367 199.5829 13.4391 579.6936 39.0343 388.7946 26.2367 198.4561 13.3923 579.1332 39.0812 
3.5992 388.3055 27.9039 198.9002 14.2931 577.7108 41.5147 387.4619 27.9039 197.7758 14.2433 577.1480 41.5646 
3.9980 386.5472 29.4912 197.9996 15.1062 575.0948 43.8762 385.7035 29.4912 196.8782 15.0535 574.5288 43.9289 
4.3993 384.3711 31.0103 196.8849 15.8843 571.8573 46.1364 383.5275 31.0103 195.7675 15.8289 571.2875 46.1918 
4.7981 381.8281 32.4703 195.5823 16.6321 568.0739 48.3084 380.9845 32.4703 194.4694 16.5741 567.4995 48.3664 
5.1994 378.9090 33.9004 194.0871 17.3647 563.7309 50.4361 378.0653 33.9004 192.9794 17.3041 563.1513 50.4967 
5.5982 375.6738 35.3092 192.4300 18.0863 558.9177 52.5322 374.8302 35.3092 191.3281 18.0232 558.3323 52.5952 
5.9995 372.1047 36.6797 190.6018 18.7883 553.6077 54.5711 371.2611 36.6797 189.5063 18.7228 553.0160 54.6367 
6.3983 368.2700 38.0157 188.6375 19.4726 547.9025 56.5587 367.4264 38.0157 187.5489 19.4047 547.3039 56.6267 
6.7970 364.1710 39.3202 186.5379 20.1408 541.8041 58.4996 363.3274 39.3202 185.4566 20.0706 541.1982 58.5699 
7.1984 359.8023 40.5961 184.3002 20.7944 535.3045 60.3978 358.9587 40.5961 183.2266 20.7218 534.6908 60.4703 
7.5971 355.2424 41.8581 181.9645 21.4408 528.5204 62.2754 354.3988 41.8581 180.8991 21.3660 527.8985 62.3502 
7.9985 350.4565 43.1357 179.5130 22.0953 521.4000 64.1762 349.6129 43.1357 178.4561 22.0182 520.7696 64.2533 
8.3972 345.5282 44.3927 176.9886 22.7391 514.0678 66.0463 344.6846 44.3927 175.9405 22.6598 513.4286 66.1256 
8.7986 340.4181 45.6302 174.3711 23.3730 506.4652 67.8875 339.5745 45.6302 173.3322 23.2915 505.8168 67.9690 
9.1973 335.2140 46.8495 171.7054 23.9975 498.7226 69.7015 334.3704 46.8495 170.6758 23.9138 498.0650 69.7852 
9.5987 329.8729 48.0515 168.9695 24.6132 490.7763 71.4898 329.0293 48.0515 167.9495 24.5274 490.1090 71.5757 
9.9974 324.4855 49.2372 166.2100 25.2206 482.7610 73.2538 323.6419 49.2372 165.1995 25.1326 482.0842 73.3418 
10.3962 319.0413 50.4839 163.4213 25.8592 474.6613 75.1087 318.1977 50.4839 162.4206 25.7690 473.9747 75.1989 
10.7975 313.5283 51.7195 160.5974 26.4921 466.4593 76.9469 312.6847 51.7195 159.6066 26.3996 465.7629 77.0393 
11.1963 308.0395 52.9442 157.7859 27.1194 458.2932 78.7690 307.1959 52.9442 156.8049 27.0248 457.5869 78.8637 
11.5976 302.5282 54.1589 154.9629 27.7416 450.0936 80.5762 301.6846 54.1589 153.9917 27.6448 449.3775 80.6730 
11.9964 297.0873 55.3639 152.1759 28.3588 441.9988 82.3689 296.2437 55.3639 151.2144 28.2599 441.2730 82.4679 
12.3977 291.6709 56.5598 149.4014 28.9714 433.9403 84.1481 290.8272 56.5598 148.4496 28.8703 433.2048 84.2492 
12.7965 286.3704 57.8007 146.6864 29.6070 426.0544 85.9943 285.5268 57.8007 145.7441 29.5037 425.3095 86.0976 
13.1978 281.1418 59.0538 144.0082 30.2489 418.2755 87.8587 280.2982 59.0538 143.0752 30.1434 417.5212 87.9642 
13.5966 276.0744 60.3022 141.4125 30.8884 410.7363 89.7160 275.2308 60.3022 140.4886 30.7806 409.9730 89.8238 
13.9954 271.1577 61.5462 138.8941 31.5256 403.4213 91.5668 270.3140 61.5462 137.9789 31.4156 402.6492 91.6768 
14.3967 266.3850 62.7862 136.4494 32.1608 396.3207 93.4117 265.5414 62.7862 135.5428 32.0486 395.5400 93.5239 
14.7955 261.8399 64.0228 134.1213 32.7941 389.5586 95.2514 260.9963 64.0228 133.2228 32.6797 388.7699 95.3658 
15.1968 257.4879 65.2900 131.8920 33.4432 383.0837 97.1367 256.6442 65.2900 131.0013 33.3266 382.2872 97.2534 
15.5956 253.4070 66.5871 129.8017 34.1077 377.0123 99.0666 252.5634 66.5871 128.9183 33.9887 376.2085 99.1856 
15.9969 249.5687 67.8801 127.8356 34.7700 371.3018 100.9903 248.7251 67.8801 126.9590 34.6487 370.4911 101.1116 
16.3957 246.0446 69.1690 126.0305 35.4302 366.0587 102.9078 245.2010 69.1690 125.1602 35.3066 365.2417 103.0314 
16.7945 242.8325 70.4537 124.3852 36.0883 361.2799 104.8192 241.9889 70.4537 123.5206 35.9624 360.4571 104.9451 
17.1958 239.9383 71.7343 122.9027 36.7442 356.9739 106.7245 239.0947 71.7343 122.0433 36.6160 356.1460 106.8527 
17.5946 237.4217 73.0349 121.6136 37.4104 353.2297 108.6595 236.5780 73.0349 120.7587 37.2799 352.3973 108.7900 
17.9959 235.2739 74.4062 120.5134 38.1128 350.0343 110.6996 234.4302 74.4062 119.6624 37.9798 349.1980 110.8325 
18.3947 233.5452 75.7773 119.6279 38.8151 347.4624 112.7395 232.7015 75.7773 118.7800 38.6797 346.6231 112.8749 
18.7960 232.2369 77.1483 118.9578 39.5174 345.5160 114.7793 231.3933 77.1483 118.1122 39.3795 344.6743 114.9171 
19.1948 231.3887 78.5193 118.5234 40.2196 344.2541 116.8189 230.5451 78.5193 117.6793 40.0793 343.4109 116.9592 
19.5961 231.0131 79.8904 118.3310 40.9219 343.6953 118.8588 230.1695 79.8904 117.4876 40.7792 342.8514 119.0016 
19.9949 231.1380 81.2616 118.3949 41.6243 343.8811 120.8989 230.2944 81.2616 117.5513 41.4791 343.0374 121.0441

 I-14 
d) UnAnneal,Sz (continued) 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) 
MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 
381.7602 9.1259 192.8572 4.6102 570.6633 13.6416 377.9469 9.1259 187.7475 4.5333 568.1463 13.7184 
384.0787 12.9264 194.0284 6.5301 574.1290 19.3226 380.2654 12.9264 188.8992 6.4212 571.6315 19.4315 
385.7936 15.8558 194.8947 8.0100 576.6924 23.7016 381.9802 15.8558 189.7510 7.8765 574.2094 23.8351 
386.9500 18.3359 195.4789 9.2629 578.4211 27.4089 383.1366 18.3359 190.3255 9.1085 575.9478 27.5634 
387.5564 20.5296 195.7853 10.3711 579.3276 30.6881 383.7431 20.5296 190.6268 10.1982 576.8594 30.8611 
387.6440 22.5203 195.8295 11.3768 579.4585 33.6638 383.8306 22.5203 190.6702 11.1871 576.9910 33.8534 
387.2346 24.3848 195.6227 12.3187 578.8465 36.4509 383.4212 24.3848 190.4669 12.1133 576.3756 36.6562 
386.3463 26.1410 195.1739 13.2059 577.5187 39.0761 382.5330 26.1410 190.0256 12.9857 575.0403 39.2963 
385.0136 27.8021 194.5007 14.0450 575.5265 41.5591 381.2002 27.8021 189.3636 13.8108 573.0369 41.7933 
383.2552 29.3835 193.6124 14.8439 572.8980 43.9232 379.4419 29.3835 188.4901 14.5965 570.3936 44.1706 
381.0792 30.8972 192.5131 15.6086 569.6453 46.1857 377.2658 30.8972 187.4091 15.3484 567.1225 46.4460 
378.5361 32.3517 191.2284 16.3434 565.8439 48.3601 374.7228 32.3517 186.1459 16.0709 563.2997 48.6326 
375.6170 33.7767 189.7537 17.0633 561.4803 50.4901 371.8037 33.7767 184.6958 16.7788 558.9116 50.7746 
372.3819 35.1804 188.1194 17.7724 556.6443 52.5883 368.5685 35.1804 183.0887 17.4761 554.0484 52.8847 
368.8128 36.5458 186.3164 18.4622 551.3092 54.6295 364.9994 36.5458 181.3157 18.1544 548.6832 54.9373 
364.9781 37.8769 184.3791 19.1346 545.5770 56.6192 361.1647 37.8769 179.4108 18.8156 542.9186 56.9383 
360.8791 39.1767 182.3084 19.7912 539.4497 58.5622 357.0657 39.1767 177.3746 19.4613 536.7568 58.8922 
356.5104 40.4479 180.1015 20.4334 532.9193 60.4624 352.6970 40.4479 175.2044 20.0928 530.1897 60.8031 
351.9505 41.7053 177.7979 21.0686 526.1031 62.3420 348.1371 41.7053 172.9393 20.7174 523.3350 62.6933 
347.1645 42.9783 175.3801 21.7117 518.9489 64.2449 343.3512 42.9783 170.5618 21.3497 516.1406 64.6069 
342.2363 44.2307 172.8905 22.3444 511.5820 66.1170 338.4229 44.2307 168.1137 21.9719 508.7321 66.4895 
337.1262 45.4637 170.3090 22.9673 503.9434 67.9601 333.3128 45.4637 165.5752 22.5844 501.0504 68.3430 
331.9220 46.6785 167.6800 23.5810 496.1641 69.7760 328.1087 46.6785 162.9900 23.1878 493.2274 70.1692 
326.5809 47.8761 164.9817 24.1860 488.1801 71.5663 322.7676 47.8761 160.3368 23.7828 485.1984 71.9695 
321.1935 49.0575 162.2601 24.7828 480.1269 73.3321 317.3802 49.0575 157.6606 24.3696 477.0998 73.7453 
315.7493 50.2997 159.5098 25.4103 471.9888 75.1890 311.9360 50.2997 154.9561 24.9867 468.9159 75.6127 
310.2364 51.5307 156.7248 26.0322 463.7480 77.0292 306.4230 51.5307 152.2175 25.5982 460.6285 77.4632 
304.7476 52.7510 153.9520 26.6487 455.5432 78.8533 300.9342 52.7510 149.4909 26.2044 452.3775 79.2976 
299.2363 53.9612 151.1678 27.2601 447.3048 80.6624 295.4229 53.9612 146.7532 26.8056 444.0927 81.1169 
293.7954 55.1618 148.4192 27.8666 439.1716 82.4571 289.9820 55.1618 144.0504 27.4020 435.9137 82.9217 
288.3789 56.3533 145.6829 28.4685 431.0749 84.2381 284.5655 56.3533 141.3597 27.9939 427.7714 84.7128 
283.0785 57.5897 143.0052 29.0931 423.1517 86.0863 279.2651 57.5897 138.7267 28.6080 419.8036 86.5714 
277.8499 58.8383 140.3639 29.7238 415.3359 87.9527 274.0365 58.8383 136.1293 29.2283 411.9437 88.4483 
272.7825 60.0821 137.8039 30.3522 407.7610 89.8120 268.9691 60.0821 133.6121 29.8462 404.3262 90.3180 
267.8657 61.3216 135.3201 30.9783 400.4114 91.6648 264.0524 61.3216 131.1696 30.4619 396.9351 92.1813 
263.0931 62.5571 132.9090 31.6025 393.2771 93.5116 259.2797 62.5571 128.7988 31.0756 389.7606 94.0385 
258.5480 63.7891 130.6129 32.2249 386.4830 95.3533 254.7346 63.7891 126.5410 31.6876 382.9283 95.8906 
254.1959 65.0517 128.4144 32.8627 379.9775 97.2406 250.3826 65.0517 124.3791 32.3148 376.3861 97.7885 
250.1151 66.3441 126.3528 33.5156 373.8773 99.1726 246.3017 66.3441 122.3519 32.9568 370.2515 99.7314 
246.2767 67.6324 124.4138 34.1664 368.1397 101.0983 242.4634 67.6324 120.4452 33.5968 364.4816 101.6680 
242.7526 68.9165 122.6335 34.8152 362.8718 103.0179 238.9393 68.9165 118.6946 34.2347 359.1840 103.5983 
239.5406 70.1966 121.0108 35.4618 358.0703 104.9314 235.7272 70.1966 117.0990 34.8706 354.3555 105.5226 
236.6463 71.4725 119.5487 36.1064 353.7440 106.8386 232.8330 71.4725 115.6612 35.5044 350.0048 107.4406 
234.1297 72.7684 118.2773 36.7610 349.9821 108.7757 230.3164 72.7684 114.4111 36.1481 346.2216 109.3886 
231.9819 74.1346 117.1923 37.4512 346.7715 110.8180 228.1686 74.1346 113.3441 36.8268 342.9930 111.4424 
230.2532 75.5007 116.3190 38.1414 344.1874 112.8601 226.4399 75.5007 112.4854 37.5055 340.3943 113.4960 
228.9449 76.8668 115.6581 38.8314 342.2318 114.9021 225.1316 76.8668 111.8355 38.1840 338.4277 115.5495 
228.0968 78.2327 115.2296 39.5215 340.9639 116.9439 224.2834 78.2327 111.4142 38.8626 337.1527 117.6028 
227.7212 79.5988 115.0399 40.2116 340.4025 118.9860 223.9078 79.5988 111.2276 39.5412 336.5881 119.6564 
227.8460 80.9650 115.1030 40.9018 340.5891 121.0283 224.0327 80.9650 111.2896 40.2199 336.7758 121.7102

 I-15 
d) UnAnneal,Sz (continued) 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) 
MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 
373.1418 9.1259 181.2446 4.4327 565.0390 13.8191 367.8153 9.1259 173.9471 4.3158 561.6835 13.9359 
375.4603 12.9264 182.3708 6.2787 568.5497 19.5740 370.1338 12.9264 175.0435 6.1131 565.2240 19.7396 
377.1751 15.8558 183.2037 7.7016 571.1465 24.0100 371.8486 15.8558 175.8545 7.4985 567.8427 24.2131 
378.3315 18.3359 183.7654 8.9062 572.8977 27.7656 373.0050 18.3359 176.4014 8.6714 569.6087 28.0004 
378.9380 20.5296 184.0600 9.9718 573.8160 31.0875 373.6115 20.5296 176.6882 9.7089 570.5348 31.3504 
379.0255 22.5203 184.1025 10.9387 573.9485 34.1019 373.6990 22.5203 176.7296 10.6503 570.6684 34.3903 
378.6161 24.3848 183.9037 11.8443 573.3286 36.9252 373.2896 24.3848 176.5360 11.5320 570.0432 37.2375 
377.7279 26.1410 183.4722 12.6974 571.9835 39.5846 372.4014 26.1410 176.1159 12.3626 568.6868 39.9194 
376.3951 27.8021 182.8249 13.5042 569.9654 42.0999 371.0686 27.8021 175.4856 13.1481 566.6516 42.4560 
374.6368 29.3835 181.9708 14.2724 567.3027 44.4947 369.3103 29.3835 174.6541 13.8961 563.9664 44.8710 
372.4607 30.8972 180.9138 15.0075 564.0076 46.7868 367.1342 30.8972 173.6250 14.6119 560.6435 47.1824 
369.9177 32.3517 179.6786 15.7141 560.1568 48.9894 364.5912 32.3517 172.4223 15.2998 556.7601 49.4037 
366.9986 33.7767 178.2607 16.4062 555.7364 51.1471 361.6721 33.7767 171.0418 15.9737 552.3023 51.5797 
363.7634 35.1804 176.6893 17.0880 550.8375 53.2727 358.4369 35.1804 169.5119 16.6375 547.3620 53.7232 
360.1943 36.5458 174.9557 17.7513 545.4330 55.3404 354.8678 36.5458 167.8240 17.2832 541.9117 55.8084 
356.3596 37.8769 173.0931 18.3978 539.6261 57.3561 351.0331 37.8769 166.0105 17.9127 536.0558 57.8411 
352.2606 39.1767 171.1021 19.0291 533.4191 59.3243 346.9341 39.1767 164.0720 18.5274 529.7963 59.8260 
347.8919 40.4479 168.9801 19.6466 526.8038 61.2492 342.5655 40.4479 162.0059 19.1286 523.1250 61.7672 
343.3320 41.7053 166.7653 20.2574 519.8988 63.1533 338.0055 41.7053 159.8495 19.7233 516.1616 63.6874 
338.5461 42.9783 164.4406 20.8757 512.6516 65.0809 333.2196 42.9783 157.5861 20.3253 508.8531 65.6313 
333.6178 44.2307 162.0468 21.4840 505.1888 66.9774 328.2913 44.2307 155.2554 20.9176 501.3272 67.5438 
328.5077 45.4637 159.5647 22.0829 497.4507 68.8445 323.1812 45.4637 152.8387 21.5007 493.5237 69.4267 
323.3036 46.6785 157.0369 22.6730 489.5703 70.6840 317.9771 46.6785 150.3776 22.0752 485.5766 71.2818 
317.9625 47.8761 154.4426 23.2547 481.4823 72.4976 312.6360 47.8761 147.8517 22.6416 477.4203 73.1107 
312.5751 49.0575 151.8258 23.8285 473.3244 74.2864 307.2486 49.0575 145.3039 23.2002 469.1933 74.9147 
307.1309 50.2997 149.1814 24.4318 465.0804 76.1675 301.8044 50.2997 142.7292 23.7877 460.8796 76.8116 
301.6179 51.5307 146.5037 25.0298 456.7322 78.0316 296.2915 51.5307 140.1220 24.3699 452.4609 78.6915 
296.1291 52.7510 143.8376 25.6225 448.4207 79.8795 290.8026 52.7510 137.5263 24.9470 444.0790 80.5550 
290.6178 53.9612 141.1606 26.2104 440.0751 81.7121 285.2913 53.9612 134.9199 25.5193 435.6628 82.4031 
285.1769 55.1618 138.5178 26.7935 431.8361 83.5301 279.8505 55.1618 132.3468 26.0871 427.3541 84.2365 
279.7605 56.3533 135.8869 27.3723 423.6340 85.3344 274.4340 56.3533 129.7852 26.6506 419.0827 86.0560 
274.4600 57.5897 133.3123 27.9728 415.6077 87.2066 269.1335 57.5897 127.2785 27.2353 410.9885 87.9441 
269.2314 58.8383 130.7727 28.5793 407.6902 89.0973 263.9050 58.8383 124.8058 27.8258 403.0041 89.8508 
264.1640 60.0821 128.3113 29.1834 400.0167 90.9808 258.8375 60.0821 122.4093 28.4140 395.2657 91.7502 
259.2473 61.3216 125.9231 29.7855 392.5714 92.8576 253.9208 61.3216 120.0841 29.0002 387.7574 93.6429 
254.4746 62.5571 123.6049 30.3856 385.3443 94.7286 249.1481 62.5571 117.8270 29.5845 380.4692 95.5297 
249.9295 63.7891 121.3973 30.9840 378.4618 96.5942 244.6031 63.7891 115.6776 30.1671 373.5285 97.4111 
245.5775 65.0517 119.2833 31.5973 371.8716 98.5060 240.2510 65.0517 113.6194 30.7642 366.8826 99.3391 
241.4966 66.3441 117.3012 32.2250 365.6921 100.4632 236.1701 66.3441 111.6895 31.3754 360.6508 101.3128 
237.6583 67.6324 115.4368 32.8508 359.8798 102.4140 232.3318 67.6324 109.8743 31.9847 354.7893 103.2801 
234.1342 68.9165 113.7250 33.4745 354.5433 104.3585 228.8077 68.9165 108.2077 32.5920 349.4077 105.2411 
230.9221 70.1966 112.1649 34.0963 349.6794 106.2969 225.5956 70.1966 106.6886 33.1973 344.5027 107.1958 
228.0279 71.4725 110.7591 34.7161 345.2967 108.2290 222.7014 71.4725 105.3199 33.8008 340.0830 109.1443 
225.5113 72.7684 109.5367 35.3455 341.4859 110.1912 220.1848 72.7684 104.1297 34.4136 336.2398 111.1231 
223.3635 74.1346 108.4934 36.0091 338.2335 112.2601 218.0370 74.1346 103.1140 35.0597 332.9600 113.2095 
221.6348 75.5007 107.6538 36.6727 335.6158 114.3288 216.3083 75.5007 102.2964 35.7058 330.3201 115.2957 
220.3265 76.8668 107.0183 37.3362 333.6347 116.3973 215.0000 76.8668 101.6777 36.3518 328.3223 117.3817 
219.4783 78.2327 106.6063 37.9996 332.3503 118.4657 214.1518 78.2327 101.2766 36.9978 327.0271 119.4676 
219.1027 79.5988 106.4239 38.6632 331.7816 120.5344 213.7762 79.5988 101.0990 37.6438 326.4535 121.5538 
219.2276 80.9650 106.4845 39.3268 331.9707 122.6033 213.9011 80.9650 101.1580 38.2900 326.6442 123.6401

 I-16 
e) UnAnneal,SzPlt 
Unannealed, Outer Lid, Crack Originated From Outside Surface, Section 1-1, Sz, at 0 
deg 
0 
100 
200 
300 
400 
500 
600 
700 
0 2 4 6 8 10 12 14 16 18 20 
Distance From Outside Surface (mm) 
Hoop Stress (MPa) 
Mean 
Min 
Max

 I-17 
f) UnAnneal,KSzPlt 
Unannealed, Outer Lid, Crack Originated From Outside Surface, 
Section 1-1, Sz, at 0 Deg. 
0 
20 
40 
60 
80 
100 
120 
140 
0 2 4 6 8 10 12 14 16 18 20 
Crack Depth From Outside Surface (mm) 
K (MPa-m^0.5) 
Mean 
Min 
Max

 I-18 
The Excel File S&K_OL_Anne DTN: LL000316005924.140 contains the following six 
items: 
a) Anneal,Sx  Excel tables containing radial stress and stress intensity factor profiles as a 
function of depth at location designated as 0, 18, 36, 54, 72, and 90 degrees along the 
circumference of the closure weld. Mean, maximum and minimum stress and stress intensity 
values are given at each of the locations to characterize uncertainty. Stress and stress 
intensity factor profiles are presented in the first table by British units, i.e., stress in ksi, 
distance in inches and stress intensity factor in ksi (in)1/2 and in the second table by metric 
units, i.e., stress in MPa, distance in m and stress intensity factor in MPa (m)1/2. The 
variability of the mean stress along the circumference is represented by Eq. 7. 
Mean stress intensity factor is calculated from mean stress at 0 degree. Variability and 
uncertainty for stress intensity factor are handled similarly to those for stress because stress 
intensity factor is a linear function of stress. 
b) Anneal,SxPlt  Plot depicting mean, minimum and maximum radial stress profiles at 0 
degree. 
c) Anneal,KSxPlt  Plot depicting mean, minimum and maximum radial stress intensity factor 
profiles at 0 degree. 
d) Anneal,Sz - Excel tables containing hoop stress and stress intensity factor profiles as a 
function of depth at location designated as 0, 18, 36, 54, 72, and 90 degrees along the 
circumference of the closure weld. 
e) Anneal,SzPlt - Plot depicting mean, minimum and maximum hoop stress profiles at 0 degree. 
f) Anneal,KSzPlt - Plot depicting mean, minimum and maximum hoop stress intensity factor 
profiles at 0 degree.

 I-19 
a) Anneal,Sx 
Results in Metric Unit start in Cell A80 
Angle(deg): 0 18 
(rad): 0 0.3141593 
Scale Facto 1 0.9438128 1.0561872 0.9970569 0.943647 1.056353 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Depth Stress: Sx K(Sx) Stress: Sx K(Sx) Stress: Sx K(Sx) Stress: Sx K(Sx) Stress: Sx K(Sx) Stress: Sx K(Sx) 
(in) (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 
0.0157 -45.1465 -10.8011 -42.6099 -10.1942 -47.6832 -11.408 -45.2689 -10.8011 -42.7178 -10.1924 -47.8199 -11.4098 
0.0315 -45.0425 -15.3576 -42.5117 -14.4947 -47.5733 -16.2205 -45.1649 -15.3576 -42.6197 -14.4921 -47.7101 -16.223 
0.0472 -44.7939 -18.8061 -42.2771 -17.7494 -47.3108 -19.8627 -44.9163 -18.8061 -42.3851 -17.7463 -47.4475 -19.8659 
0.063 -44.4024 -21.5861 -41.9076 -20.3732 -46.8973 -22.7989 -44.5248 -21.5861 -42.0157 -20.3696 -47.0339 -22.8025 
0.0787 -43.8779 -23.8549 -41.4125 -22.5146 -46.3432 -25.1952 -44.0002 -23.8549 -41.5207 -22.5106 -46.4798 -25.1992 
0.0945 -43.2184 -25.6802 -40.7901 -24.2373 -45.6467 -27.1231 -43.3407 -25.6802 -40.8984 -24.233 -45.7831 -27.1273 
0.1102 -42.4372 -27.5487 -40.0528 -26.0008 -44.8217 -29.0966 -42.5596 -27.5487 -40.1612 -25.9963 -44.958 -29.1012 
0.126 -41.5293 -29.2357 -39.1959 -27.593 -43.8627 -30.8783 -41.6517 -29.2357 -39.3045 -27.5881 -43.9989 -30.8832 
0.1417 -40.5110 -30.6253 -38.2348 -28.9046 -42.7872 -32.3461 -40.6334 -30.6253 -38.3436 -28.8995 -42.9232 -32.3512 
0.1574 -39.3818 -31.7267 -37.169 -29.9441 -41.5945 -33.5094 -39.5041 -31.7267 -37.2779 -29.9388 -41.7303 -33.5146 
0.1732 -38.1382 -32.5484 -35.9953 -30.7196 -40.2811 -34.3772 -38.2605 -32.5484 -36.1044 -30.7142 -40.4166 -34.3826 
0.1889 -36.8009 -33.1262 -34.7331 -31.2649 -38.8686 -34.9874 -36.9232 -33.1262 -34.8425 -31.2594 -39.004 -34.9929 
0.2047 -35.3577 -33.6432 -33.371 -31.7529 -37.3443 -35.5336 -35.4800 -33.6432 -33.4806 -31.7473 -37.4794 -35.5391 
0.2204 -33.8317 -34.1217 -31.9308 -32.2045 -35.7326 -36.039 -33.9541 -34.1217 -32.0406 -32.1989 -35.8675 -36.0446 
0.2362 -32.2084 -34.3764 -30.3987 -32.4448 -34.0181 -36.3079 -32.3308 -34.3764 -30.5088 -32.4391 -34.1527 -36.3136 
0.2519 -30.5132 -34.4474 -28.7988 -32.5119 -32.2277 -36.3829 -30.6356 -34.4474 -28.9092 -32.5062 -32.362 -36.3886 
0.2676 -28.7409 -34.3448 -27.1261 -32.4151 -30.3558 -36.2746 -28.8633 -34.3448 -27.2368 -32.4094 -30.4898 -36.2803 
0.2834 -26.8844 -34.0772 -25.3739 -32.1625 -28.395 -35.9919 -27.0068 -34.0772 -25.4849 -32.1568 -28.5287 -35.9976 
0.2991 -24.9720 -33.8240 -23.5689 -31.9235 -26.3751 -35.7245 -25.0944 -33.8240 -23.6802 -31.9179 -26.5085 -35.7301 
0.3149 -22.9842 -33.8356 -21.6928 -31.9344 -24.2756 -35.7367 -23.1066 -33.8356 -21.8044 -31.9288 -24.4087 -35.7423 
0.3306 -20.9511 -33.7259 -19.7739 -31.831 -22.1283 -35.6209 -21.0734 -33.7259 -19.8859 -31.8254 -22.261 -35.6265 
0.3464 -18.8516 -33.4876 -17.7924 -31.606 -19.9108 -35.3692 -18.9739 -33.4876 -17.9047 -31.6005 -20.0432 -35.3747 
0.3621 -16.7171 -33.1575 -15.7779 -31.2945 -17.6564 -35.0205 -16.8395 -33.1575 -15.8905 -31.289 -17.7885 -35.026 
0.3779 -14.5255 -32.7266 -13.7093 -30.8878 -15.3416 -34.5655 -14.6478 -32.7266 -13.8224 -30.8824 -15.4733 -34.5709 
0.3936 -12.3091 -32.2294 -11.6175 -30.4186 -13.0008 -34.0403 -12.4315 -32.2294 -11.731 -30.4132 -13.1321 -34.0457 
0.4093 -10.0593 -32.3361 -9.49406 -30.5192 -10.6245 -34.153 -10.1816 -32.3361 -9.60786 -30.5138 -10.7554 -34.1583 
0.4251 -7.7660 -32.2985 -7.32969 -30.4838 -8.2024 -34.1133 -7.8884 -32.2985 -7.44387 -30.4784 -8.33294 -34.1187 
0.4408 -5.4634 -32.1512 -5.1564 -30.3447 -5.77034 -33.9577 -5.5857 -32.1512 -5.27096 -30.3394 -5.9005 -33.963 
0.4566 -3.1268 -31.8851 -2.95111 -30.0936 -3.30248 -33.6767 -3.2492 -31.8851 -3.06606 -30.0883 -3.43226 -33.682 
0.4723 -0.7907 -31.5321 -0.74632 -29.7604 -0.83518 -33.3039 -0.9131 -31.5321 -0.86165 -29.7552 -0.96456 -33.3091 
0.4881 1.5696 -31.0829 1.481448 -29.3365 1.657835 -32.8294 1.4473 -31.0829 1.365724 -29.3313 1.528841 -32.8346 
0.5038 3.9196 -31.1242 3.699414 -29.3755 4.139881 -32.873 3.7973 -31.1242 3.5833 -29.3703 4.011278 -32.8782 
0.5196 6.2843 -31.2134 5.931217 -29.4596 6.637413 -32.9672 6.1620 -31.2134 5.814711 -29.4544 6.509201 -32.9723 
0.5353 8.6289 -31.1875 8.144031 -29.4351 9.113694 -32.9398 8.5065 -31.1875 8.027137 -29.4299 8.985871 -32.945 
0.551 10.9634 -31.0482 10.34743 -29.3037 11.57944 -32.7927 10.8411 -31.0482 10.23015 -29.2986 11.45201 -32.7979 
0.5668 13.2979 -30.7979 12.55077 -29.0675 14.04511 -32.5284 13.1756 -30.7979 12.4331 -29.0624 13.91806 -32.5335 
0.5825 15.5980 -30.4646 14.72156 -28.7529 16.47437 -32.1764 15.4756 -30.4646 14.60351 -28.7479 16.3477 -32.1814 
0.5983 17.8879 -30.7221 16.88285 -28.9959 18.89299 -32.4483 17.7656 -30.7221 16.76442 -28.9908 18.76671 -32.4534 
0.614 20.1340 -31.5105 19.0027 -29.74 21.26525 -33.281 20.0116 -31.5105 18.8839 -29.7348 21.13933 -33.2862 
0.6298 22.3599 -32.1161 21.10351 -30.3116 23.61619 -33.9206 22.2375 -32.1161 20.98434 -30.3063 23.49064 -33.926 
0.6455 24.5325 -32.5721 23.15411 -30.742 25.91093 -34.4023 24.4102 -32.5721 23.03458 -30.7366 25.78575 -34.4077 
0.6612 26.6614 -32.8835 25.16334 -31.0359 28.15939 -34.7312 26.5390 -32.8835 25.04345 -31.0304 28.03456 -34.7366 
0.677 28.7546 -33.0546 27.139 -31.1974 30.37028 -34.9118 28.6323 -33.0546 27.01877 -31.1919 30.2458 -34.9173 
0.6927 30.7810 -33.6447 29.05151 -31.7543 32.5105 -35.5351 30.6586 -33.6447 28.93094 -31.7487 32.38635 -35.5407 
0.7085 32.7614 -35.5374 30.92061 -33.5407 34.60215 -37.5342 32.6390 -35.5374 30.79971 -33.5348 34.47833 -37.5401 
0.7242 34.6658 -37.0871 32.71807 -35.0033 36.61363 -39.1709 34.5435 -37.0871 32.59686 -34.9971 36.49012 -39.1771 
0.74 36.5138 -38.3030 34.46218 -36.1508 38.56539 -40.4551 36.3914 -38.3030 34.34066 -36.1445 38.44219 -40.4615 
0.7557 38.2769 -39.2299 36.12627 -37.0256 40.42761 -41.4341 38.1546 -39.2299 36.00445 -37.0191 40.30471 -41.4406 
0.7715 39.9729 -39.8727 37.72693 -37.6324 42.21885 -42.1131 39.8505 -39.8727 37.60483 -37.6258 42.09623 -42.1197 
0.7872 41.5753 -40.2740 39.23932 -38.0111 43.91132 -42.5369 41.4530 -40.2740 39.11696 -38.0045 43.78896 -42.5436

 I-20 
a) Anneal,Sx (continued) 
36 54 
0.6283185 0.9424778 
0.9885158 0.9431601 1.0568399 0.9752128 0.9423847 1.0576153 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Stress: Sx K(Sx) Stress: Sx K(Sx) Stress: Sx K(Sx) Stress: Sx K(Sx) Stress: Sx K(Sx) Stress: Sx K(Sx) 
(ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 
-45.6240 -10.8011 -43.0307 -10.1872 -48.2172 -11.415 -46.1770 -10.8011 -43.5165 -10.1788 -48.8375 -11.4234 
-45.5200 -15.3576 -42.9326 -14.4847 -48.1073 -16.2305 -46.0731 -15.3576 -43.4186 -14.4727 -48.7276 -16.2424 
-45.2714 -18.8061 -42.6982 -17.7371 -47.8446 -19.875 -45.8245 -18.8061 -43.1843 -17.7226 -48.4647 -19.8896 
-44.8799 -21.5861 -42.3289 -20.3591 -47.4309 -22.813 -45.4330 -21.5861 -42.8153 -20.3424 -48.0506 -22.8297 
-44.3553 -23.8549 -41.8342 -22.499 -46.8765 -25.2108 -44.9084 -23.8549 -42.321 -22.4805 -47.4958 -25.2293 
-43.6958 -25.6802 -41.2122 -24.2205 -46.1795 -27.1398 -44.2489 -25.6802 -41.6995 -24.2006 -46.7983 -27.1597 
-42.9147 -27.5487 -40.4754 -25.9829 -45.354 -29.1146 -43.4678 -27.5487 -40.9634 -25.9615 -45.9722 -29.136 
-42.0068 -29.2357 -39.6191 -27.5739 -44.3945 -30.8974 -42.5599 -29.2357 -40.1078 -27.5512 -45.012 -30.9201 
-40.9885 -30.6253 -38.6587 -28.8846 -43.3183 -32.3661 -41.5416 -30.6253 -39.1481 -28.8609 -43.935 -32.3898 
-39.8592 -31.7267 -37.5936 -29.9234 -42.1248 -33.5301 -40.4123 -31.7267 -38.0839 -29.8988 -42.7407 -33.5547 
-38.6156 -32.5484 -36.4207 -30.6983 -40.8105 -34.3984 -39.1687 -32.5484 -36.912 -30.6731 -41.4254 -34.4237 
-37.2783 -33.1262 -35.1594 -31.2433 -39.3972 -35.0091 -37.8314 -33.1262 -35.6517 -31.2176 -40.0111 -35.0347 
-35.8351 -33.6432 -33.7983 -31.731 -37.872 -35.5555 -36.3882 -33.6432 -34.2917 -31.7049 -38.4847 -35.5816 
-34.3092 -34.1217 -32.359 -32.1823 -36.2593 -36.0612 -34.8622 -34.1217 -32.8536 -32.1558 -36.8708 -36.0877 
-32.6859 -34.3764 -30.828 -32.4224 -34.5437 -36.3303 -33.2390 -34.3764 -31.3239 -32.3958 -35.154 -36.357 
-30.9907 -34.4474 -29.2292 -32.4894 -32.7522 -36.4054 -31.5438 -34.4474 -29.7264 -32.4627 -33.3612 -36.4321 
-29.2184 -34.3448 -27.5576 -32.3927 -30.8792 -36.297 -29.7715 -34.3448 -28.0562 -32.366 -31.4868 -36.3236 
-27.3619 -34.0772 -25.8066 -32.1403 -28.9171 -36.0141 -27.9150 -34.0772 -26.3066 -32.1138 -29.5233 -36.0406 
-25.4495 -33.8240 -24.0029 -31.9014 -26.896 -35.7465 -26.0025 -33.8240 -24.5044 -31.8752 -27.5007 -35.7728 
-23.4617 -33.8356 -22.1281 -31.9124 -24.7952 -35.7588 -24.0148 -33.8356 -22.6311 -31.8861 -25.3984 -35.785 
-21.4285 -33.7259 -20.2105 -31.809 -22.6465 -35.6429 -21.9816 -33.7259 -20.7151 -31.7828 -23.2481 -35.6691 
-19.3290 -33.4876 -18.2304 -31.5842 -20.4277 -35.391 -19.8821 -33.4876 -18.7366 -31.5582 -21.0276 -35.417 
-17.1946 -33.1575 -16.2173 -31.2728 -18.1719 -35.0422 -17.7477 -33.1575 -16.7251 -31.2471 -18.7702 -35.0679 
-15.0029 -32.7266 -14.1502 -30.8665 -15.8557 -34.5868 -15.5560 -32.7266 -14.6597 -30.8411 -16.4523 -34.6122 
-12.7866 -32.2294 -12.0598 -30.3975 -13.5134 -34.0614 -13.3397 -32.2294 -12.5711 -30.3725 -14.1083 -34.0864 
-10.5367 -32.3361 -9.93781 -30.4981 -11.1356 -34.1741 -11.0898 -32.3361 -10.4509 -30.473 -11.7287 -34.1991 
-8.2435 -32.2985 -7.77494 -30.4627 -8.71206 -34.1344 -8.7966 -32.2985 -8.28977 -30.4376 -9.3034 -34.1594 
-5.9408 -32.1512 -5.60315 -30.3237 -6.27851 -33.9786 -6.4939 -32.1512 -6.11976 -30.2988 -6.86806 -34.0036 
-3.6043 -31.8851 -3.39939 -30.0728 -3.80912 -33.6975 -4.1573 -31.8851 -3.91781 -30.0481 -4.39686 -33.7222 
-1.2682 -31.5321 -1.19612 -29.7399 -1.34029 -33.3244 -1.8213 -31.5321 -1.71635 -29.7154 -1.92622 -33.3489 
1.0922 -31.0829 1.030104 -29.3162 1.154264 -32.8497 0.5391 -31.0829 0.508044 -29.2921 0.570165 -32.8738 
3.4422 -31.1242 3.246536 -29.3551 3.637844 -32.8933 2.8891 -31.1242 2.722654 -29.331 3.055568 -32.9175 
5.8069 -31.2134 5.476796 -29.4392 6.136919 -32.9875 5.2538 -31.2134 4.95108 -29.415 5.556476 -33.0117 
8.1514 -31.1875 7.68808 -29.4148 8.61473 -32.9601 7.5983 -31.1875 7.160546 -29.3906 8.036106 -32.9843 
10.4860 -31.0482 9.889959 -29.2834 11.082 -32.813 9.9329 -31.0482 9.360615 -29.2594 10.50519 -32.8371 
12.8205 -30.7979 12.09177 -29.0474 13.5492 -32.5485 12.2674 -30.7979 11.56061 -29.0235 12.97419 -32.5724 
15.1205 -30.4646 14.26106 -28.733 15.97995 -32.1963 14.5674 -30.4646 13.72812 -28.7094 15.40673 -32.2199 
17.4105 -30.7221 16.42085 -28.9758 18.40007 -32.4683 16.8574 -30.7221 15.88614 -28.952 17.82863 -32.4921 
19.6565 -31.5105 18.53924 -29.7195 20.77379 -33.3016 19.1034 -31.5105 18.00279 -29.695 20.20409 -33.326 
21.8824 -32.1161 20.6386 -30.2906 23.12619 -33.9416 21.3293 -32.1161 20.10042 -30.2657 22.55821 -33.9665 
24.0551 -32.5721 22.68777 -30.7207 25.42235 -34.4235 23.5020 -32.5721 22.14791 -30.6955 24.85606 -34.4488 
26.1839 -32.8835 24.69561 -31.0144 27.6722 -34.7526 25.6308 -32.8835 24.1541 -30.9889 27.10756 -34.7781 
28.2772 -33.0546 26.66991 -31.1758 29.88446 -34.9334 27.7241 -33.0546 26.12677 -31.1502 29.32144 -34.9591 
30.3035 -33.6447 28.5811 -31.7323 32.026 -35.557 29.7505 -33.6447 28.03639 -31.7062 31.46455 -35.5831 
32.2839 -35.5374 30.44891 -33.5175 34.11894 -37.5574 31.7308 -35.5374 29.90266 -33.4899 33.55903 -37.5849 
34.1884 -37.0871 32.24513 -34.9791 36.13166 -39.1951 33.6353 -37.0871 31.6974 -34.9503 35.57322 -39.2239 
36.0363 -38.3030 33.98802 -36.1258 38.08463 -40.4801 35.4832 -38.3030 33.43887 -36.0961 37.52762 -40.5098 
37.7995 -39.2299 35.65096 -37 39.948 -41.4597 37.2464 -39.2299 35.10044 -36.9696 39.39237 -41.4901 
39.4954 -39.8727 37.25051 -37.6064 41.74035 -42.1391 38.9424 -39.8727 36.69868 -37.5755 41.18603 -42.17 
41.0979 -40.2740 38.76186 -37.9849 43.43386 -42.5632 40.5448 -40.2740 38.20878 -37.9536 42.88078 -42.5944

 I-21 
a) Anneal,Sx (continued) 
72 90 
1.2566371 1.5707963 
0.9584499 0.941377 1.058623 0.9398682 0.940218 1.059782 From Analyses 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface Mean 
Stress: Sx K(Sx) Stress: Sx K(Sx) Stress: Sx K(Sx) Stress: Sx K(Sx) Stress: Sx K(Sx) Stress: Sx K(Sx) Stress: Sx K(Sx) 
(ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 
-46.8740 -10.8011 -44.1261 -10.1679 -49.6219 -11.4343 -47.6465 -10.8011 -44.80 -10.16 -50.49 -11.45 -45.1465 -10.8011 
-46.7700 -15.3576 -44.0282 -14.4573 -49.5118 -16.2579 -47.5425 -15.3576 -44.70 -14.44 -50.38 -16.28 -45.0425 -15.3576 
-46.5214 -18.8061 -43.7942 -17.7036 -49.2486 -19.9085 -47.2939 -18.8061 -44.47 -17.68 -50.12 -19.93 -44.7939 -18.8061 
-46.1299 -21.5861 -43.4256 -20.3206 -48.8342 -22.8515 -46.9024 -21.5861 -44.10 -20.30 -49.71 -22.88 -44.4024 -21.5861 
-45.6053 -23.8549 -42.9318 -22.4565 -48.2788 -25.2533 -46.3779 -23.8549 -43.61 -22.43 -49.15 -25.28 -43.8779 -23.8549 
-44.9458 -25.6802 -42.311 -24.1747 -47.5807 -27.1856 -45.7184 -25.6802 -42.99 -24.14 -48.45 -27.22 -43.2184 -25.6802 
-44.1647 -27.5487 -41.5756 -25.9337 -46.7538 -29.1637 -44.9372 -27.5487 -42.25 -25.90 -47.62 -29.20 -42.4372 -27.5487 
-43.2568 -29.2357 -40.7209 -27.5218 -45.7926 -30.9495 -44.0293 -29.2357 -41.40 -27.49 -46.66 -30.98 -41.5293 -29.2357 
-42.2385 -30.6253 -39.7623 -28.83 -44.7146 -32.4207 -43.0110 -30.6253 -40.44 -28.79 -45.58 -32.46 -40.5110 -30.6253 
-41.1092 -31.7267 -38.6993 -29.8668 -43.5192 -33.5867 -41.8818 -31.7267 -39.38 -29.83 -44.39 -33.62 -39.3818 -31.7267 
-39.8656 -32.5484 -37.5286 -30.6403 -42.2027 -34.4565 -40.6382 -32.5484 -38.21 -30.60 -43.07 -34.49 -38.1382 -32.5484 
-38.5283 -33.1262 -36.2697 -31.1842 -40.787 -35.0681 -39.3009 -33.1262 -36.95 -31.15 -41.65 -35.11 -36.8009 -33.1262 
-37.0851 -33.6432 -34.9111 -31.671 -39.2592 -35.6155 -37.8577 -33.6432 -35.59 -31.63 -40.12 -35.65 -35.3577 -33.6432 
-35.5592 -34.1217 -33.4746 -32.1214 -37.6437 -36.1221 -36.3317 -34.1217 -34.16 -32.08 -38.50 -36.16 -33.8317 -34.1217 
-33.9359 -34.3764 -31.9465 -32.3611 -35.9253 -36.3916 -34.7084 -34.3764 -32.63 -32.32 -36.78 -36.43 -32.2084 -34.3764 
-32.2407 -34.4474 -30.3506 -32.428 -34.1307 -36.4668 -33.0132 -34.4474 -31.04 -32.39 -34.99 -36.51 -30.5132 -34.4474 
-30.4684 -34.3448 -28.6823 -32.3314 -32.2546 -36.3582 -31.2409 -34.3448 -29.37 -32.29 -33.11 -36.40 -28.7409 -34.3448 
-28.6119 -34.0772 -26.9346 -32.0795 -30.2892 -36.0749 -29.3844 -34.0772 -27.63 -32.04 -31.14 -36.11 -26.8844 -34.0772 
-26.6995 -33.8240 -25.1343 -31.8411 -28.2647 -35.8069 -27.4720 -33.8240 -25.83 -31.80 -29.11 -35.85 -24.9720 -33.824 
-24.7117 -33.8356 -23.263 -31.852 -26.1603 -35.8191 -25.4842 -33.8356 -23.96 -31.81 -27.01 -35.86 -22.9842 -33.8356 
-22.6785 -33.7259 -21.3491 -31.7488 -24.008 -35.7031 -23.4511 -33.7259 -22.05 -31.71 -24.85 -35.74 -20.9511 -33.7259 
-20.5790 -33.4876 -19.3726 -31.5245 -21.7854 -35.4507 -21.3516 -33.4876 -20.08 -31.49 -22.63 -35.49 -18.8516 -33.4876 
-18.4446 -33.1575 -17.3633 -31.2137 -19.5259 -35.1013 -19.2171 -33.1575 -18.07 -31.18 -20.37 -35.14 -16.7171 -33.1575 
-16.2529 -32.7266 -15.3001 -30.8081 -17.2057 -34.6452 -17.0255 -32.7266 -16.01 -30.77 -18.04 -34.68 -14.5255 -32.7266 
-14.0366 -32.2294 -13.2137 -30.3401 -14.8595 -34.1188 -14.8091 -32.2294 -13.92 -30.30 -15.69 -34.16 -12.3091 -32.2294 
-11.7867 -32.3361 -11.0957 -30.4404 -12.4777 -34.2317 -12.5593 -32.3361 -11.81 -30.40 -13.31 -34.27 -10.0593 -32.3361 
-9.4935 -32.2985 -8.93697 -30.4051 -10.05 -34.192 -10.2660 -32.2985 -9.65 -30.37 -10.88 -34.23 -7.7660 -32.2985 
-7.1908 -32.1512 -6.76928 -30.2664 -7.61238 -34.036 -7.9634 -32.1512 -7.49 -30.23 -8.44 -34.07 -5.4634 -32.1512 
-4.8543 -31.8851 -4.56968 -30.0159 -5.13883 -33.7543 -5.6268 -31.8851 -5.29 -29.98 -5.96 -33.79 -3.1268 -31.8851 
-2.5182 -31.5321 -2.37058 -29.6836 -2.66583 -33.3807 -3.2907 -31.5321 -3.09 -29.65 -3.49 -33.42 -0.7907 -31.5321 
-0.1578 -31.0829 -0.14856 -29.2608 -0.16707 -32.9051 -0.9304 -31.0829 -0.87 -29.22 -0.99 -32.94 1.5696 -31.0829 
2.1922 -31.1242 2.063677 -29.2996 2.320703 -32.9488 1.4196 -31.1242 1.33 -29.26 1.50 -32.98 3.9196 -31.1242 
4.5569 -31.2134 4.289721 -29.3836 4.823994 -33.0432 3.7843 -31.2134 3.56 -29.35 4.01 -33.08 6.2843 -31.2134 
6.9014 -31.1875 6.496824 -29.3592 7.305986 -33.0158 6.1289 -31.1875 5.76 -29.32 6.50 -33.05 8.6289 -31.1875 
9.2360 -31.0482 8.694541 -29.2281 9.777422 -32.8684 8.4634 -31.0482 7.96 -29.19 8.97 -32.90 10.9634 -31.0482 
11.5705 -30.7979 10.89219 -28.9925 12.24878 -32.6034 10.7979 -30.7979 10.15 -28.96 11.44 -32.64 13.2979 -30.7979 
13.8705 -30.4646 13.05738 -28.6787 14.68364 -32.2506 13.0980 -30.4646 12.31 -28.64 13.88 -32.29 15.5980 -30.4646 
16.1605 -30.7221 15.21309 -28.9211 17.10784 -32.5231 15.3879 -30.7221 14.47 -28.89 16.31 -32.56 17.8879 -30.7221 
18.4065 -31.5105 17.32747 -29.6633 19.48556 -33.3578 17.6340 -31.5105 16.58 -29.63 18.69 -33.39 20.1340 -31.5105 
20.6324 -32.1161 19.42286 -30.2334 21.84193 -33.9989 19.8599 -32.1161 18.67 -30.20 21.05 -34.04 22.3599 -32.1161 
22.8051 -32.5721 21.46816 -30.6627 24.14196 -34.4816 22.0325 -32.5721 20.72 -30.62 23.35 -34.52 24.5325 -32.5721 
24.9339 -32.8835 23.47221 -30.9558 26.39561 -34.8113 24.1614 -32.8835 22.72 -30.92 25.61 -34.85 26.6614 -32.8835 
27.0272 -33.0546 25.44277 -31.1168 28.6116 -34.9924 26.2546 -33.0546 24.69 -31.08 27.82 -35.03 28.7546 -33.0546 
29.0535 -33.6447 27.35034 -31.6723 30.75675 -35.617 28.2810 -33.6447 26.59 -31.63 29.97 -35.66 30.7810 -33.6447 
31.0339 -35.5374 29.21462 -33.4541 32.85322 -37.6207 30.2614 -35.5374 28.45 -33.41 32.07 -37.66 32.7614 -35.5374 
32.9384 -37.0871 31.00745 -34.913 34.86934 -39.2613 32.1658 -37.0871 30.24 -34.87 34.09 -39.30 34.6658 -37.0871 
34.7863 -38.3030 32.74705 -36.0575 36.8256 -40.5484 34.0138 -38.3030 31.98 -36.01 36.05 -40.59 36.5138 -38.303 
36.5495 -39.2299 34.40684 -36.9301 38.69212 -41.5296 35.7769 -39.2299 33.64 -36.88 37.92 -41.58 38.2769 -39.2299 
38.2454 -39.8727 36.00337 -37.5353 40.48749 -42.2102 37.4729 -39.8727 35.23 -37.49 39.71 -42.26 39.9729 -39.8727 
39.8479 -40.2740 37.51186 -37.913 42.18386 -42.635 39.0753 -40.2740 36.74 -37.87 41.41 -42.68 41.5753 -40.274

 I-22 
a) Anneal,Sx (continued) 
In Metric Unit 
Unit Conv: 1.0000 in = 25.4000 mm 1.0000 ksi = 6.8948 MPa 1.0000 ksi-in^0.5= 1.0988 MPa-m^0.5 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Depth Stress: Sx K(Sx) Stress: Sx K(Sx) Stress: Sx K(Sx) Stress: Sx K(Sx) Stress: Sx K(Sx) Stress: Sx K(Sx) 
(mm) MPa MPa*m^0.5MPa MPa*m^0.5MPa MPa*m^0.5MPa MPa*m^0.5MPa MPa*m^0.5MPa MPa*m^0.5 
0.3988 -311.2742 -11.8687 -293.7846 -11.2019 -328.7638 -12.5356 -312.1178 -11.8687 -294.5290 -11.1999 -329.7066 -12.5376 
0.8001 -310.5573 -16.8756 -293.1080 -15.9274 -328.0066 -17.8238 -311.4009 -16.8756 -293.8525 -15.9246 -328.9493 -17.8266 
1.1989 -308.8433 -20.6649 -291.4902 -19.5038 -326.1963 -21.8260 -309.6869 -20.6649 -292.2351 -19.5004 -327.1387 -21.8295 
1.6002 -306.1440 -23.7197 -288.9427 -22.3869 -323.3454 -25.0524 -306.9877 -23.7197 -289.6880 -22.3830 -324.2873 -25.0564 
1.9990 -302.5272 -26.2128 -285.5290 -24.7400 -319.5253 -27.6856 -303.3708 -26.2128 -286.2749 -24.7356 -320.4666 -27.6900 
2.4003 -297.9803 -28.2185 -281.2376 -26.6330 -314.7230 -29.8040 -298.8239 -28.2185 -281.9843 -26.6283 -315.6635 -29.8087 
2.7991 -292.5944 -30.2717 -276.1544 -28.5708 -309.0345 -31.9726 -293.4380 -30.2717 -276.9019 -28.5658 -309.9742 -31.9776 
3.2004 -286.3346 -32.1254 -270.2463 -30.3204 -302.4230 -33.9304 -287.1783 -32.1254 -270.9949 -30.3150 -303.3616 -33.9358 
3.5992 -279.3137 -33.6524 -263.6198 -31.7616 -295.0075 -35.5433 -280.1573 -33.6524 -264.3696 -31.7560 -295.9450 -35.5489 
3.9980 -271.5277 -34.8627 -256.2713 -32.9039 -286.7841 -36.8215 -272.3713 -34.8627 -257.0224 -32.8981 -287.7203 -36.8273 
4.3993 -262.9535 -35.7656 -248.1789 -33.7560 -277.7281 -37.7751 -263.7971 -35.7656 -248.9313 -33.7501 -278.6629 -37.7810 
4.7981 -253.7330 -36.4005 -239.4764 -34.3552 -267.9895 -38.4457 -254.5766 -36.4005 -240.2305 -34.3492 -268.9228 -38.4517 
5.1994 -243.7825 -36.9686 -230.0850 -34.8915 -257.4799 -39.0458 -244.6261 -36.9686 -230.8407 -34.8853 -258.4115 -39.0519 
5.5982 -233.2613 -37.4944 -220.1550 -35.3877 -246.3676 -39.6012 -234.1050 -37.4944 -220.9124 -35.3815 -247.2975 -39.6074 
5.9995 -222.0692 -37.7742 -209.5918 -35.6518 -234.5467 -39.8966 -222.9129 -37.7742 -210.3511 -35.6455 -235.4747 -39.9029 
6.3983 -210.3813 -37.8523 -198.5606 -35.7255 -222.2020 -39.9791 -211.2249 -37.8523 -199.3218 -35.7192 -223.1281 -39.9854 
6.7970 -198.1618 -37.7396 -187.0277 -35.6191 -209.2960 -39.8601 -199.0055 -37.7396 -187.7909 -35.6128 -210.2200 -39.8663 
7.1984 -185.3615 -37.4455 -174.9466 -35.3415 -195.7765 -39.5495 -186.2052 -37.4455 -175.7119 -35.3353 -196.6984 -39.5557 
7.5971 -172.1759 -37.1673 -162.5018 -35.0789 -181.8499 -39.2556 -173.0195 -37.1673 -163.2693 -35.0728 -182.7697 -39.2617 
7.9985 -158.4706 -37.1800 -149.5666 -35.0909 -167.3746 -39.2690 -159.3142 -37.1800 -150.3364 -35.0848 -168.2921 -39.2752 
8.3972 -144.4526 -37.0595 -136.3362 -34.9772 -152.5690 -39.1418 -145.2962 -37.0595 -137.1084 -34.9711 -153.4841 -39.1479 
8.7986 -129.9771 -36.7976 -122.6740 -34.7301 -137.2801 -38.8652 -130.8207 -36.7976 -123.4486 -34.7240 -138.1928 -38.8713 
9.1973 -115.2606 -36.4349 -108.7845 -34.3877 -121.7368 -38.4821 -116.1043 -36.4349 -109.5615 -34.3817 -122.6471 -38.4881 
9.5987 -100.1496 -35.9614 -94.5225 -33.9409 -105.7767 -37.9820 -100.9932 -35.9614 -95.3019 -33.9349 -106.6845 -37.9880 
9.9974 -84.8686 -35.4151 -80.1001 -33.4252 -89.6371 -37.4050 -85.7122 -35.4151 -80.8821 -33.4194 -90.5424 -37.4109 
10.3962 -69.3562 -35.5323 -65.4592 -33.5358 -73.2531 -37.5287 -70.1998 -35.5323 -66.2438 -33.5299 -74.1558 -37.5346 
10.7975 -53.5450 -35.4910 -50.5365 -33.4969 -56.5535 -37.4852 -54.3886 -35.4910 -51.3237 -33.4910 -57.4536 -37.4910 
11.1963 -37.6686 -35.3291 -35.5521 -33.3441 -39.7851 -37.3141 -38.5123 -35.3291 -36.3420 -33.3382 -40.6825 -37.3200 
11.5976 -21.5585 -35.0368 -20.3472 -33.0681 -22.7698 -37.0054 -22.4021 -35.0368 -21.1397 -33.0623 -23.6646 -37.0112 
11.9964 -5.4520 -34.6489 -5.1457 -32.7021 -5.7584 -36.5957 -6.2957 -34.6489 -5.9409 -32.6963 -6.6504 -36.6015 
12.3977 10.8223 -34.1553 10.2142 -32.2362 11.4304 -36.0744 9.9787 -34.1553 9.4163 -32.2305 10.5410 -36.0800 
12.7965 27.0250 -34.2007 25.5066 -32.2790 28.5435 -36.1223 26.1814 -34.2007 24.7060 -32.2733 27.6568 -36.1280 
13.1978 43.3288 -34.2986 40.8943 -32.3715 45.7634 -36.2257 42.4852 -34.2986 40.0910 -32.3658 44.8794 -36.2314 
13.5966 59.4939 -34.2701 56.1511 -32.3446 62.8367 -36.1957 58.6503 -34.2701 55.3452 -32.3389 61.9554 -36.2013 
13.9954 75.5902 -34.1171 71.3430 -32.2002 79.8375 -36.0341 74.7466 -34.1171 70.5344 -32.1945 78.9588 -36.0397 
14.3967 91.6861 -33.8421 86.5345 -31.9406 96.8376 -35.7436 90.8424 -33.8421 85.7232 -31.9350 95.9617 -35.7492 
14.7955 107.5442 -33.4759 101.5016 -31.5949 113.5868 -35.3568 106.7005 -33.4759 100.6876 -31.5894 112.7134 -35.3623 
15.1968 123.3329 -33.7587 116.4031 -31.8619 130.2626 -35.6556 122.4892 -33.7587 115.5866 -31.8563 129.3919 -35.6612 
15.5956 138.8189 -34.6251 131.0190 -32.6796 146.6187 -36.5706 137.9752 -34.6251 130.1999 -32.6739 145.7506 -36.5763 
15.9969 154.1657 -35.2906 145.5036 -33.3077 162.8279 -37.2734 153.3221 -35.2906 144.6819 -33.3018 161.9623 -37.2793 
16.3957 169.1458 -35.7917 159.6419 -33.7806 178.6496 -37.8027 168.3021 -35.7917 158.8178 -33.7747 177.7865 -37.8086 
16.7945 183.8236 -36.1338 173.4951 -34.1036 194.1522 -38.1641 182.9800 -36.1338 172.6685 -34.0976 193.2915 -38.1701 
17.1958 198.2563 -36.3218 187.1168 -34.2810 209.3957 -38.3626 197.4126 -36.3218 186.2878 -34.2750 208.5374 -38.3687 
17.5946 212.2276 -36.9702 200.3031 -34.8930 224.1520 -39.0475 211.3839 -36.9702 199.4718 -34.8868 223.2960 -39.0536 
17.9959 225.8818 -39.0500 213.1901 -36.8559 238.5734 -41.2442 225.0381 -39.0500 212.3565 -36.8495 237.7197 -41.2506 
18.3947 239.0126 -40.7529 225.5832 -38.4631 252.4421 -43.0427 238.1690 -40.7529 224.7474 -38.4564 251.5905 -43.0495 
18.7960 251.7537 -42.0889 237.6083 -39.7241 265.8990 -44.4538 250.9100 -42.0889 236.7705 -39.7171 265.0496 -44.4608 
19.1948 263.9102 -43.1075 249.0818 -40.6854 278.7386 -45.5295 263.0666 -43.1075 248.2420 -40.6782 277.8912 -45.5367 
19.5961 275.6034 -43.8139 260.1180 -41.3521 291.0887 -46.2757 274.7597 -43.8139 259.2762 -41.3448 290.2433 -46.2829 
19.9949 286.6517 -44.2548 270.5456 -41.7683 302.7579 -46.7414 285.8081 -44.2548 269.7019 -41.7609 301.9142 -46.7487

 I-23 
a) Anneal,Sx (continued) 
5
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Stress: Sx K(Sx) Stress: Sx K(Sx) Stress: Sx K(Sx) Stress: Sx K(Sx) Stress: Sx K(Sx) Stress: Sx K(Sx) 
MPa MPa*m^0.5MPa MPa*m^0.5MPa MPa*m^0.5MPa MPa*m^0.5MPa MPa*m^0.5MPa MPa*m^0.5 
-314.5661 -11.8687 -296.6862 -11.1941 -332.4461 -12.5433 -318.3795 -11.8687 -300.0360 -11.1849 -336.7230 -12.5525 
-313.8492 -16.8756 -296.0101 -15.9164 -331.6884 -17.8348 -317.6626 -16.8756 -299.3604 -15.9033 -335.9648 -17.8479 
-312.1352 -20.6649 -294.3935 -19.4903 -329.8770 -21.8395 -315.9486 -20.6649 -297.7451 -19.4743 -334.1521 -21.8555 
-309.4360 -23.7197 -291.8477 -22.3715 -327.0243 -25.0679 -313.2493 -23.7197 -295.2014 -22.3531 -331.2973 -25.0863 
-305.8191 -26.2128 -288.4364 -24.7229 -323.2018 -27.7027 -309.6325 -26.2128 -291.7929 -24.7025 -327.4720 -27.7231 
-301.2722 -28.2185 -284.1479 -26.6145 -318.3965 -29.8224 -305.0856 -28.2185 -287.5080 -26.5927 -322.6632 -29.8443 
-295.8864 -30.2717 -279.0682 -28.5511 -312.7045 -31.9924 -299.6997 -30.2717 -282.4324 -28.5276 -316.9670 -32.0158 
-289.6266 -32.1254 -273.1642 -30.2994 -306.0890 -33.9514 -293.4399 -32.1254 -276.5333 -30.2745 -310.3466 -33.9763 
-282.6056 -33.6524 -266.5423 -31.7396 -298.6689 -35.5652 -286.4190 -33.6524 -269.9168 -31.7135 -302.9211 -35.5913 
-274.8196 -34.8627 -259.1989 -32.8811 -290.4404 -36.8443 -278.6330 -34.8627 -262.5795 -32.8541 -294.6865 -36.8713 
-266.2454 -35.7656 -251.1121 -33.7326 -281.3788 -37.7985 -270.0588 -35.7656 -254.4993 -33.7049 -285.6183 -37.8262 
-257.0249 -36.4005 -242.4157 -34.3315 -271.6342 -38.4695 -260.8383 -36.4005 -245.8100 -34.3032 -275.8666 -38.4977 
-247.0744 -36.9686 -233.0307 -34.8673 -261.1181 -39.0699 -250.8878 -36.9686 -236.4328 -34.8387 -265.3428 -39.0986 
-236.5533 -37.4944 -223.1076 -35.3633 -249.9990 -39.6256 -240.3666 -37.4944 -226.5178 -35.3342 -254.2154 -39.6547 
-225.3612 -37.7742 -212.5517 -35.6271 -238.1707 -39.9213 -229.1745 -37.7742 -215.9706 -35.5978 -242.3785 -39.9506 
-213.6733 -37.8523 -201.5281 -35.7008 -225.8184 -40.0038 -217.4866 -37.8523 -204.9561 -35.6714 -230.0172 -40.0332 
-201.4538 -37.7396 -190.0032 -35.5945 -212.9044 -39.8847 -205.2671 -37.7396 -193.4406 -35.5652 -217.0937 -39.9140 
-188.6535 -37.4455 -177.9304 -35.3171 -199.3765 -39.5739 -192.4668 -37.4455 -181.3778 -35.2881 -203.5559 -39.6029 
-175.4678 -37.1673 -165.4942 -35.0547 -185.4414 -39.2798 -179.2812 -37.1673 -168.9518 -35.0259 -189.6105 -39.3087 
-161.7625 -37.1800 -152.5680 -35.0667 -170.9571 -39.2933 -165.5759 -37.1800 -156.0362 -35.0378 -175.1156 -39.3221 
-147.7446 -37.0595 -139.3468 -34.9531 -156.1424 -39.1660 -151.5579 -37.0595 -142.8259 -34.9243 -160.2900 -39.1947 
-133.2690 -36.7976 -125.6940 -34.7060 -140.8440 -38.8892 -137.0824 -36.7976 -129.1843 -34.6775 -144.9804 -38.9177 
-118.5526 -36.4349 -111.8141 -34.3640 -125.2911 -38.5059 -122.3659 -36.4349 -115.3158 -34.3357 -129.4161 -38.5341 
-103.4415 -35.9614 -97.5619 -33.9174 -109.3211 -38.0055 -107.2549 -35.9614 -101.0754 -33.8895 -113.4344 -38.0334 
-88.1605 -35.4151 -83.1495 -33.4021 -93.1716 -37.4281 -91.9739 -35.4151 -86.6748 -33.3747 -97.2730 -37.4556 
-72.6481 -35.5323 -68.5188 -33.5126 -76.7774 -37.5519 -76.4615 -35.5323 -72.0561 -33.4851 -80.8668 -37.5795 
-56.8370 -35.4910 -53.6063 -33.4737 -60.0676 -37.5083 -60.6503 -35.4910 -57.1559 -33.4462 -64.1447 -37.5358 
-40.9606 -35.3291 -38.6324 -33.3210 -43.2888 -37.3372 -44.7739 -35.3291 -42.1943 -33.2936 -47.3536 -37.3646 
-24.8505 -35.0368 -23.4380 -33.0453 -26.2630 -37.0283 -28.6638 -35.0368 -27.0123 -33.0181 -30.3153 -37.0554 
-8.7440 -34.6489 -8.2470 -32.6794 -9.2410 -36.6183 -12.5573 -34.6489 -11.8338 -32.6526 -13.2808 -36.6452 
7.5303 -34.1553 7.1023 -32.2139 7.9584 -36.0966 3.7170 -34.1553 3.5028 -32.1874 3.9312 -36.1231 
23.7331 -34.2007 22.3841 -32.2567 25.0820 -36.1446 19.9197 -34.2007 18.7720 -32.2302 21.0674 -36.1711 
40.0369 -34.2986 37.7612 -32.3491 42.3126 -36.2481 36.2235 -34.2986 34.1365 -32.3225 38.3106 -36.2747 
56.2020 -34.2701 53.0074 -32.3222 59.3965 -36.2180 52.3886 -34.2701 49.3702 -32.2956 55.4070 -36.2446 
72.2983 -34.1171 68.1889 -32.1779 76.4077 -36.0563 68.4849 -34.1171 64.5392 -32.1514 72.4307 -36.0828 
88.3941 -33.8421 83.3698 -31.9185 93.4184 -35.7657 84.5808 -33.8421 79.7076 -31.8923 89.4539 -35.7919 
104.2522 -33.4759 98.3265 -31.5731 110.1779 -35.3786 100.4389 -33.4759 94.6520 -31.5471 106.2257 -35.4046 
120.0409 -33.7587 113.2178 -31.8399 126.8640 -35.6776 116.2276 -33.7587 109.5311 -31.8137 122.9241 -35.7038 
135.5269 -34.6251 127.8236 -32.6570 143.2303 -36.5932 131.7136 -34.6251 124.1249 -32.6302 139.3023 -36.6200 
150.8738 -35.2906 142.2981 -33.2847 159.4494 -37.2965 147.0604 -35.2906 138.5875 -33.2573 155.5334 -37.3238 
165.8538 -35.7917 156.4267 -33.7573 175.2809 -37.8261 162.0405 -35.7917 152.7045 -33.7295 171.3765 -37.8538 
180.5317 -36.1338 170.2703 -34.0800 190.7931 -38.1877 176.7183 -36.1338 166.5366 -34.0520 186.9000 -38.2157 
194.9643 -36.3218 183.8825 -34.2573 206.0461 -38.3863 191.1510 -36.3218 180.1377 -34.2291 202.1642 -38.4145 
208.9356 -36.9702 197.0597 -34.8688 220.8115 -39.0716 205.1223 -36.9702 193.3041 -34.8402 216.9404 -39.1003 
222.5898 -39.0500 209.9378 -36.8304 235.2418 -41.2696 218.7765 -39.0500 206.1716 -36.8002 231.3813 -41.2999 
235.7207 -40.7529 222.3223 -38.4365 249.1190 -43.0693 231.9073 -40.7529 218.5459 -38.4049 245.2687 -43.1009 
248.4617 -42.0889 234.3392 -39.6966 262.5843 -44.4813 244.6484 -42.0889 230.5529 -39.6640 258.7438 -44.5139 
260.6182 -43.1075 245.8047 -40.6572 275.4318 -45.5577 256.8049 -43.1075 242.0090 -40.6238 271.6008 -45.5911 
272.3114 -43.8139 256.8332 -41.3235 287.7896 -46.3043 268.4981 -43.8139 253.0285 -41.2895 283.9677 -46.3382 
283.3598 -44.2548 267.2536 -41.7394 299.4659 -46.7703 279.5464 -44.2548 263.4403 -41.7051 295.6526 -46.8046

 I-24 
a) Anneal,Sx (continued) 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Stress: Sx K(Sx) Stress: Sx K(Sx) Stress: Sx K(Sx) Stress: Sx K(Sx) Stress: Sx K(Sx) Stress: Sx K(Sx) 
MPa MPa*m^0.5MPa MPa*m^0.5MPa MPa*m^0.5MPa MPa*m^0.5MPa MPa*m^0.5MPa MPa*m^0.5 
-323.1846 -11.8687 -304.2386 -11.1729 -342.1306 -12.5645 -328.5111 -11.8687 -308.8720 -11.1592 -348.1501 -12.5783 
-322.4677 -16.8756 -303.5637 -15.8863 -341.3717 -17.8649 -327.7942 -16.8756 -308.1980 -15.8667 -347.3904 -17.8844 
-320.7537 -20.6649 -301.9501 -19.4535 -339.5572 -21.8764 -326.0802 -20.6649 -306.5864 -19.4295 -345.5739 -21.9003 
-318.0544 -23.7197 -299.4091 -22.3292 -336.6997 -25.1102 -323.3809 -23.7197 -304.0486 -22.3017 -342.7133 -25.1377 
-314.4376 -26.2128 -296.0043 -24.6761 -332.8708 -27.7495 -319.7640 -26.2128 -300.6479 -24.6457 -338.8802 -27.7798 
-309.8907 -28.2185 -291.7240 -26.5642 -328.0574 -29.8727 -315.2172 -28.2185 -296.3729 -26.5315 -334.0615 -29.9054 
-304.5048 -30.2717 -286.6538 -28.4971 -322.3558 -32.0464 -309.8313 -30.2717 -291.3090 -28.4620 -328.3536 -32.0814 
-298.2450 -32.1254 -280.7610 -30.2421 -315.7291 -34.0087 -303.5715 -32.1254 -285.4234 -30.2049 -321.7196 -34.0459 
-291.2241 -33.6524 -274.1516 -31.6796 -308.2965 -35.6252 -296.5505 -33.6524 -278.8222 -31.6406 -314.2789 -35.6643 
-283.4381 -34.8627 -266.8221 -32.8189 -300.0541 -36.9065 -288.7646 -34.8627 -271.5017 -32.7785 -306.0275 -36.9469 
-274.8639 -35.7656 -258.7505 -33.6689 -290.9772 -37.8622 -280.1904 -35.7656 -263.4400 -33.6274 -296.9407 -37.9037 
-265.6434 -36.4005 -250.0706 -34.2666 -281.2162 -38.5344 -270.9699 -36.4005 -254.7708 -34.2244 -287.1690 -38.5766 
-255.6929 -36.9686 -240.7034 -34.8014 -270.6824 -39.1358 -261.0194 -36.9686 -245.4151 -34.7586 -276.6236 -39.1787 
-245.1717 -37.4944 -230.7990 -35.2964 -259.5444 -39.6925 -250.4982 -37.4944 -235.5229 -35.2530 -265.4735 -39.7359 
-233.9796 -37.7742 -220.2631 -35.5598 -247.6962 -39.9887 -239.3061 -37.7742 -224.9999 -35.5160 -253.6123 -40.0324 
-222.2917 -37.8523 -209.2603 -35.6333 -235.3231 -40.0713 -227.6182 -37.8523 -214.0107 -35.5894 -241.2257 -40.1152 
-210.0722 -37.7396 -197.7572 -35.5272 -222.3873 -39.9520 -215.3987 -37.7396 -202.5218 -35.4834 -228.2757 -39.9957 
-197.2719 -37.4455 -185.7073 -35.2503 -208.8366 -39.6407 -202.5984 -37.4455 -190.4867 -35.2069 -214.7102 -39.6841 
-184.0863 -37.1673 -173.2946 -34.9884 -194.8780 -39.3461 -189.4128 -37.1673 -178.0893 -34.9453 -200.7362 -39.3892 
-170.3810 -37.1800 -160.3928 -35.0004 -180.3692 -39.3596 -175.7075 -37.1800 -165.2033 -34.9573 -186.2116 -39.4027 
-156.3630 -37.0595 -147.1965 -34.8870 -165.5295 -39.2321 -161.6895 -37.0595 -152.0234 -34.8440 -171.3556 -39.2750 
-141.8875 -36.7976 -133.5696 -34.6404 -150.2053 -38.9548 -147.2140 -36.7976 -138.4132 -34.5978 -156.0147 -38.9974 
-127.1710 -36.4349 -119.7159 -34.2990 -134.6262 -38.5708 -132.4975 -36.4349 -124.5766 -34.2568 -140.4185 -38.6131 
-112.0600 -35.9614 -105.4907 -33.8533 -118.6293 -38.0696 -117.3865 -35.9614 -110.3689 -33.8116 -124.4041 -38.1113 
-96.7790 -35.4151 -91.1055 -33.3390 -102.4524 -37.4912 -102.1055 -35.4151 -96.0014 -33.2979 -108.2095 -37.5323 
-81.2666 -35.5323 -76.5025 -33.4493 -86.0307 -37.6153 -86.5931 -35.5323 -81.4164 -33.4081 -91.7698 -37.6565 
-65.4554 -35.4910 -61.6182 -33.4104 -69.2926 -37.5716 -70.7819 -35.4910 -66.5504 -33.3693 -75.0134 -37.6127 
-49.5790 -35.3291 -46.6726 -33.2580 -52.4855 -37.4002 -54.9055 -35.3291 -51.6232 -33.2171 -58.1879 -37.4411 
-33.4689 -35.0368 -31.5069 -32.9828 -35.4310 -37.0907 -38.7954 -35.0368 -36.4761 -32.9422 -41.1147 -37.1313 
-17.3624 -34.6489 -16.3446 -32.6177 -18.3803 -36.6801 -22.6889 -34.6489 -21.3325 -32.5775 -24.0453 -36.7203 
-1.0881 -34.1553 -1.0243 -32.1530 -1.1519 -36.1575 -6.4146 -34.1553 -6.0311 -32.1134 -6.7981 -36.1971 
15.1146 -34.2007 14.2286 -32.1957 16.0007 -36.2056 9.7881 -34.2007 9.2030 -32.1561 10.3733 -36.2452 
31.4184 -34.2986 29.5766 -32.2879 33.2603 -36.3093 26.0919 -34.2986 24.5321 -32.2482 27.6518 -36.3490 
47.5835 -34.2701 44.7940 -32.2611 50.3730 -36.2791 42.2570 -34.2701 39.7308 -32.2214 44.7832 -36.3188 
63.6798 -34.1171 59.9467 -32.1171 67.4130 -36.1172 58.3534 -34.1171 54.8649 -32.0775 61.8418 -36.1567 
79.7757 -33.8421 75.0990 -31.8582 84.4523 -35.8260 74.4492 -33.8421 69.9984 -31.8190 78.8999 -35.8652 
95.6338 -33.4759 90.0274 -31.5134 101.2401 -35.4383 90.3073 -33.4759 84.9085 -31.4746 95.7060 -35.4771 
111.4225 -33.7587 104.8906 -31.7797 117.9544 -35.7378 106.0960 -33.7587 99.7533 -31.7406 112.4386 -35.7769 
126.9085 -34.6251 119.4687 -32.5953 134.3482 -36.6549 121.5820 -34.6251 114.3136 -32.5552 128.8504 -36.6951 
142.2553 -35.2906 133.9159 -33.2217 150.5948 -37.3594 136.9288 -35.2906 128.7430 -33.1808 145.1147 -37.4003 
157.2354 -35.7917 148.0178 -33.6935 166.4530 -37.8899 151.9089 -35.7917 142.8275 -33.6520 160.9903 -37.9314 
171.9132 -36.1338 161.8352 -34.0156 181.9913 -38.2521 166.5867 -36.1338 156.6278 -33.9737 176.5456 -38.2940 
186.3459 -36.3218 175.4217 -34.1925 197.2700 -38.4511 181.0194 -36.3218 170.1977 -34.1504 191.8411 -38.4932 
200.3172 -36.9702 188.5740 -34.8029 212.0603 -39.1375 194.9907 -36.9702 183.3337 -34.7601 206.6476 -39.1804 
213.9714 -39.0500 201.4277 -36.7608 226.5150 -41.3393 208.6449 -39.0500 196.1717 -36.7156 221.1181 -41.3845 
227.1022 -40.7529 213.7888 -38.3639 240.4156 -43.1420 221.7757 -40.7529 208.5175 -38.3166 235.0339 -43.1892 
239.8433 -42.0889 225.7829 -39.6216 253.9036 -44.5563 234.5168 -42.0889 220.4969 -39.5728 248.5366 -44.6051 
251.9998 -43.1075 237.2268 -40.5804 266.7728 -45.6345 246.6733 -43.1075 231.9267 -40.5304 261.4199 -45.6845 
263.6930 -43.8139 248.2345 -41.2454 279.1514 -46.3824 258.3665 -43.8139 242.9208 -41.1946 273.8121 -46.4332 
274.7413 -44.2548 258.6352 -41.6605 290.8475 -46.8492 269.4148 -44.2548 253.3087 -41.6092 285.5210 -46.9005

 I-25 
b) Anneal,SxPlt 
Annealed, Outer Lid, Crack Originated From Outside Surface, 
Sx, at 0 Deg 
-400 
-300 
-200 
-100
0 
100 
200 
300 
400 
0 2 4 6 8 10 12 14 16 18 20 
Distance From Outside Surface (mm) 
Radial Stress (MPa) 
Mean 
Min,Inside Surface 
Max,Inside Surface

 I-26 
c) Anneal,KSxPlt 
Annealed, Outer Lid, Crack Originated From Outside Surface, 
Sx, at 0 Deg. 
-50 
-45 
-40 
-35 
-30 
-25 
-20 
-15 
-10 
-5
0
0 2 4 6 8 10 12 14 16 18 20 
Crack Depth from Outside Surface (mm) 
K (MPa-m^0.5) 
Mean 
Min 
Max

 I-27 
d) Anneal,Sz 
Results in Metric Unit start in Cell A80 
Angle(deg): 0 18 
(rad): 0 0.3141593 
Scale Facto 1 0.9633573 1.0366427 0.9980807 0.9632869 1.0367131 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Depth Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) 
(in) (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 
0.0157 -49.4942 -7.3686 -47.6806 -7.09858 -51.3078 -7.63858 -49.6165 -7.3686 -47.795 -7.09806 -51.4381 -7.6391 
0.0315 -47.2336 -10.0912 -45.5029 -9.72143 -48.9644 -10.461 -47.3560 -10.0912 -45.6174 -9.72072 -49.0946 -10.4617 
0.0472 -44.9282 -11.9466 -43.2819 -11.5088 -46.5745 -12.3844 -45.0505 -11.9466 -43.3966 -11.508 -46.7045 -12.3852 
0.063 -42.5521 -13.3085 -40.9929 -12.8208 -44.1113 -13.7962 -42.6745 -13.3085 -41.1077 -12.8199 -44.2412 -13.7971 
0.0787 -40.1391 -14.3253 -38.6683 -13.8004 -41.6099 -14.8502 -40.2615 -14.3253 -38.7833 -13.7994 -41.7396 -14.8512 
0.0945 -37.6621 -15.0749 -36.2821 -14.5225 -39.0421 -15.6273 -37.7845 -15.0749 -36.3973 -14.5215 -39.1716 -15.6283 
0.1102 -35.1561 -15.6222 -33.8679 -15.0498 -36.4443 -16.1946 -35.2784 -15.6222 -33.9832 -15.0487 -36.5736 -16.1957 
0.126 -32.5927 -15.9898 -31.3985 -15.4039 -33.787 -16.5757 -32.7151 -15.9898 -31.514 -15.4028 -33.9162 -16.5768 
0.1417 -30.0082 -16.1945 -28.9086 -15.6011 -31.1078 -16.7879 -30.1305 -16.1945 -29.0244 -15.5999 -31.2367 -16.7891 
0.1574 -27.3899 -16.2531 -26.3863 -15.6575 -28.3935 -16.8487 -27.5123 -16.2531 -26.5022 -15.6564 -28.5223 -16.8498 
0.1732 -24.7245 -16.1787 -23.8186 -15.5859 -25.6305 -16.7715 -24.8469 -16.1787 -23.9347 -15.5847 -25.7591 -16.7727 
0.1889 -22.0494 -15.9818 -21.2415 -15.3962 -22.8574 -16.5674 -22.1718 -15.9818 -21.3578 -15.3951 -22.9858 -16.5685 
0.2047 -19.3342 -15.6779 -18.6257 -15.1034 -20.0426 -16.2524 -19.4566 -15.6779 -18.7422 -15.1023 -20.1709 -16.2535 
0.2204 -16.6168 -15.2753 -16.0079 -14.7156 -17.2257 -15.835 -16.7392 -15.2753 -16.1246 -14.7145 -17.3537 -15.8361 
0.2362 -13.8663 -14.7741 -13.3582 -14.2327 -14.3744 -15.3155 -13.9886 -14.7741 -13.4751 -14.2317 -14.5022 -15.3165 
0.2519 -11.1211 -14.1800 -10.7136 -13.6604 -11.5286 -14.6996 -11.2435 -14.1800 -10.8307 -13.6594 -11.6562 -14.7006 
0.2676 -8.3675 -13.4983 -8.06085 -13.0037 -8.67406 -13.9929 -8.4898 -13.4983 -8.17813 -13.0027 -8.8015 -13.9939 
0.2834 -5.5914 -12.7337 -5.38652 -12.2671 -5.79629 -13.2003 -5.7138 -12.7337 -5.504 -12.2662 -5.92354 -13.2012 
0.2991 -2.8317 -11.8875 -2.72794 -11.4519 -2.93546 -12.3231 -2.9541 -11.8875 -2.84561 -11.4511 -3.06251 -12.3239 
0.3149 -0.0568 -10.9549 -0.05475 -10.5535 -0.05892 -11.3563 -0.1792 -10.9549 -0.17262 -10.5527 -0.18577 -11.3571 
0.3306 2.6944 -9.9481 2.595708 -9.58356 2.79317 -10.3126 2.5721 -9.9481 2.477651 -9.58285 2.666509 -10.3133 
0.3464 5.4535 -8.8705 5.25369 -8.54546 5.653354 -9.19554 5.3312 -8.8705 5.135439 -8.54484 5.526887 -9.19616 
0.3621 8.1819 -7.7257 7.88206 -7.4426 8.481671 -8.00878 8.0595 -7.7257 7.763617 -7.44206 8.355397 -8.00932 
0.3779 10.9106 -6.5170 10.51078 -6.27819 11.31037 -6.75579 10.7882 -6.5170 10.39215 -6.27773 11.18428 -6.75625 
0.3936 13.6015 -5.2477 13.10309 -5.05542 14.09988 -5.44 13.4791 -5.2477 12.98426 -5.05505 13.97399 -5.44037 
0.4093 16.2683 -3.9381 15.67221 -3.79376 16.86444 -4.08236 16.1460 -3.9381 15.55319 -3.79348 16.73873 -4.08264 
0.4251 18.9242 -2.5762 18.23076 -2.48176 19.61763 -2.67056 18.8018 -2.5762 18.11156 -2.48158 19.49211 -2.67074 
0.4408 21.5319 -1.1653 20.74289 -1.12256 22.32086 -1.20796 21.4095 -1.1653 20.6235 -1.12248 22.19552 -1.20804 
0.4566 24.1209 0.2914 23.23706 0.280769 25.00476 0.302127 23.9986 0.2914 23.11749 0.280748 24.87961 0.302148 
0.4723 26.6549 1.7908 25.67821 1.725132 27.63163 1.856368 26.5326 1.7908 25.55847 1.725006 27.50665 1.856494 
0.4881 29.1625 3.3295 28.09394 3.20745 30.23112 3.45145 29.0402 3.3295 27.97401 3.207215 30.10633 3.451685 
0.5038 31.6084 4.9280 30.45016 4.747425 32.76659 5.108575 31.4860 4.9280 30.33006 4.747078 32.64196 5.108922 
0.5196 34.0200 6.5694 32.77337 6.328718 35.26654 6.810162 33.8976 6.5694 32.65311 6.328255 35.14208 6.810625 
0.5353 36.3631 8.2429 35.03069 7.940887 37.69557 8.544973 36.2408 8.2429 34.91026 7.940306 37.57129 8.545554 
0.551 38.6497 9.9452 37.23349 9.58082 40.06595 10.30966 38.5274 9.9452 37.1129 9.580119 39.94182 10.31036 
0.5668 40.8901 11.6731 39.39178 11.24537 42.38843 12.10083 40.7677 11.6731 39.27103 11.24454 42.26446 12.10166 
0.5825 43.0523 13.4231 41.47474 12.93124 44.62985 13.91496 42.9299 13.4231 41.35384 12.9303 44.50603 13.9159 
0.5983 45.1602 15.2267 43.5054 14.66875 46.81498 15.78465 45.0378 15.2267 43.38435 14.66768 46.69131 15.78572 
0.614 47.1835 17.0815 45.45456 16.45559 48.91241 17.70741 47.0611 17.0815 45.33336 16.45438 48.78889 17.70862 
0.6298 49.1443 18.9498 47.34352 18.25543 50.94508 19.64417 49.0219 18.9498 47.22219 18.25409 50.82169 19.64551 
0.6455 51.0142 20.8278 49.1449 20.06461 52.88349 21.59099 50.8918 20.8278 49.02344 20.06315 52.76023 21.59245 
0.6612 52.8022 22.7120 50.8674 21.87977 54.73703 23.54423 52.6799 22.7120 50.74581 21.87817 54.6139 23.54583 
0.677 54.5153 24.5988 52.51774 23.69743 56.51291 25.50017 54.3930 24.5988 52.39603 23.6957 56.3899 25.5019 
0.6927 56.1282 26.5139 54.07153 25.54236 58.18491 27.48544 56.0059 26.5139 53.94971 25.54049 58.06201 27.48731 
0.7085 57.6578 28.5148 55.54505 27.46994 59.77052 29.55966 57.5354 28.5148 55.42312 27.46793 59.64774 29.56167 
0.7242 59.0810 30.5099 56.91616 29.39194 61.24594 31.62786 58.9587 30.5099 56.79413 29.38979 61.12325 31.63001 
0.74 60.4125 32.4951 58.19881 31.30439 62.62616 33.68581 60.2901 32.4951 58.07668 31.3021 62.50356 33.6881 
0.7557 61.6316 34.4662 59.37326 33.20327 63.88996 35.72913 61.5093 34.4662 59.25105 33.20084 63.76745 35.73156 
0.7715 62.7503 36.4189 60.45097 35.08441 65.04965 37.75339 62.6280 36.4189 60.32868 35.08185 64.92722 37.75595 
0.7872 63.7508 38.3490 61.41481 36.94379 66.08681 39.75421 63.6284 38.3490 61.29245 36.94109 65.96445 39.75691

 I-28 
d) Anneal,Sz (continued) 
36 54 
0.6283185 0.9424778 
0.9925106 0.9630808 1.0369192 0.9838349 0.9627553 1.0372447 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) 
(ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 
-49.9716 -7.3686 -48.1267 -7.09654 -51.8165 -7.64062 -50.5247 -7.3686 -48.6429 -7.09414 -52.4065 -7.64302 
-47.7111 -10.0912 -45.9496 -9.71864 -49.4725 -10.4638 -48.2642 -10.0912 -46.4666 -9.71536 -50.0617 -10.467 
-45.4056 -11.9466 -43.7293 -11.5055 -47.082 -12.3877 -45.9587 -11.9466 -44.247 -11.5017 -47.6704 -12.3915 
-43.0295 -13.3085 -41.4409 -12.8172 -44.6182 -13.7998 -43.5826 -13.3085 -41.9594 -12.8128 -45.2059 -13.8042 
-40.6166 -14.3253 -39.117 -13.7964 -42.1161 -14.8542 -41.1696 -14.3253 -39.6363 -13.7918 -42.703 -14.8588 
-38.1396 -15.0749 -36.7315 -14.5183 -39.5476 -15.6315 -38.6926 -15.0749 -37.2515 -14.5134 -40.1337 -15.6364 
-35.6335 -15.6222 -34.318 -15.0454 -36.9491 -16.199 -36.1866 -15.6222 -34.8388 -15.0404 -37.5344 -16.204 
-33.0702 -15.9898 -31.8493 -15.3995 -34.2911 -16.5801 -33.6233 -15.9898 -32.371 -15.3943 -34.8756 -16.5853 
-30.4856 -16.1945 -29.3601 -15.5966 -31.6111 -16.7924 -31.0387 -16.1945 -29.8827 -15.5913 -32.1947 -16.7977 
-27.8674 -16.2531 -26.8385 -15.653 -28.8962 -16.8532 -28.4204 -16.2531 -27.3619 -15.6478 -29.4789 -16.8584 
-25.2020 -16.1787 -24.2715 -15.5814 -26.1324 -16.776 -25.7551 -16.1787 -24.7958 -15.5761 -26.7143 -16.7813 
-22.5269 -15.9818 -21.6952 -15.3918 -23.3586 -16.5718 -23.0800 -15.9818 -22.2204 -15.3866 -23.9396 -16.577 
-19.8117 -15.6779 -19.0802 -15.0991 -20.5431 -16.2567 -20.3647 -15.6779 -19.6063 -15.094 -21.1232 -16.2618 
-17.0943 -15.2753 -16.4632 -14.7113 -17.7254 -15.8393 -17.6473 -15.2753 -16.9901 -14.7064 -18.3046 -15.8442 
-14.3437 -14.7741 -13.8142 -14.2287 -14.8733 -15.3195 -14.8968 -14.7741 -14.342 -14.2238 -15.4517 -15.3244 
-11.5986 -14.1800 -11.1703 -13.6565 -12.0268 -14.7035 -12.1516 -14.1800 -11.699 -13.6519 -12.6042 -14.7081 
-8.8449 -13.4983 -8.51837 -13 -9.17146 -13.9966 -9.3980 -13.4983 -9.04797 -12.9956 -9.74802 -14.001 
-6.0689 -12.7337 -5.84481 -12.2636 -6.29292 -13.2038 -6.6219 -12.7337 -6.37531 -12.2594 -6.86858 -13.208 
-3.3092 -11.8875 -3.18699 -11.4486 -3.43133 -12.3264 -3.8622 -11.8875 -3.71839 -11.4448 -4.00609 -12.3302 
-0.5343 -10.9549 -0.51457 -10.5505 -0.55402 -11.3593 -1.0874 -10.9549 -1.04687 -10.5469 -1.12787 -11.3629 
2.2170 -9.9481 2.135132 -9.58081 2.298831 -10.3154 1.6639 -9.9481 1.601931 -9.57757 1.725874 -10.3186 
4.9761 -8.8705 4.792352 -8.54301 5.159777 -9.19799 4.4230 -8.8705 4.258252 -8.54012 4.587718 -9.20088 
7.7044 -7.7257 7.419968 -7.44046 7.988848 -8.01092 7.1513 -7.7257 6.884979 -7.43795 7.417678 -8.01343 
10.4331 -6.5170 10.04793 -6.27639 10.8183 -6.75759 9.8800 -6.5170 9.512057 -6.27427 10.24802 -6.75971 
13.1240 -5.2477 12.6395 -5.05397 13.60855 -5.44145 12.5709 -5.2477 12.10274 -5.05226 13.03915 -5.44316 
15.7909 -3.9381 15.20788 -3.79267 16.37385 -4.08345 15.2378 -3.9381 14.67026 -3.79139 15.80531 -4.08473 
18.4467 -2.5762 17.7657 -2.48105 19.12778 -2.67127 17.8937 -2.5762 17.22721 -2.48021 18.5601 -2.67211 
21.0544 -1.1653 20.2771 -1.12224 21.83172 -1.20828 20.5013 -1.1653 19.73777 -1.12186 21.2649 -1.20866 
23.6435 0.2914 22.77056 0.280688 24.51635 0.302208 23.0904 0.2914 22.23038 0.280593 23.95037 0.302303 
26.1775 1.7908 25.21101 1.724637 27.14391 1.856863 25.6244 1.7908 24.67001 1.724054 26.57876 1.857446 
28.6851 3.3295 27.62604 3.206529 29.7441 3.452371 28.1320 3.3295 27.08422 3.205446 29.17976 3.453454 
31.1309 4.9280 29.98159 4.746062 32.28024 5.109938 30.5778 4.9280 29.43897 4.744458 31.7167 5.111542 
33.5425 6.5694 32.30414 6.326902 34.78086 6.811978 32.9894 6.5694 31.76074 6.324763 34.2181 6.814117 
35.8857 8.2429 34.5608 7.938608 37.21054 8.547252 35.3326 8.2429 34.01664 7.935924 36.64855 8.549936 
38.1723 9.9452 36.76298 9.57807 39.58155 10.31241 37.6192 9.9452 36.21807 9.574832 39.0203 10.31565 
40.4126 11.6731 38.92064 11.24214 41.90465 12.10406 39.8596 11.6731 38.37501 11.23834 41.34413 12.10786 
42.5748 13.4231 41.00301 12.92753 44.14667 13.91867 42.0218 13.4231 40.45667 12.92316 43.58685 13.92304 
44.6827 15.2267 43.03308 14.66454 46.33238 15.78886 44.1297 15.2267 42.48606 14.65959 45.77325 15.79381 
46.7060 17.0815 44.98168 16.45087 48.43038 17.71213 46.1529 17.0815 44.43399 16.4453 47.8719 17.7177 
48.6668 18.9498 46.8701 18.25019 50.46358 19.64941 48.1138 18.9498 46.32178 18.24402 49.90575 19.65558 
50.5367 20.8278 48.67096 20.05885 52.40251 21.59675 49.9837 20.8278 48.12203 20.05207 51.84529 21.60353 
52.3248 22.7120 50.39297 21.87349 54.25655 23.55051 51.7717 22.7120 49.84346 21.8661 53.6999 23.5579 
54.0379 24.5988 52.04284 23.69063 56.0329 25.50697 53.4848 24.5988 51.49276 23.68262 55.47682 25.51498 
55.6508 26.5139 53.59618 25.53503 57.70534 27.49277 55.0977 26.5139 53.04558 25.5264 57.14978 27.5014 
57.1803 28.5148 55.06928 27.46206 59.29138 29.56754 56.6273 28.5148 54.51818 27.45277 58.73632 29.57683 
58.6036 30.5099 56.43999 29.3835 60.76719 31.6363 58.0505 30.5099 55.88844 29.37357 60.21259 31.64623 
59.9350 32.4951 57.72227 31.29541 62.14778 33.69479 59.3819 32.4951 57.17028 31.28483 61.59361 33.70537 
61.1542 34.4662 58.89639 33.19374 63.41191 35.73866 60.6011 34.4662 58.344 33.18252 62.85814 35.74988 
62.2729 36.4189 59.97379 35.07434 64.57192 37.76346 61.7198 36.4189 59.42104 35.06249 64.01851 37.77531 
63.2733 38.3490 60.93735 36.93319 65.60935 39.76481 62.7203 38.3490 60.38427 36.9207 65.05627 39.7773

 I-29 
d) Anneal,Sz (continued) 
72 90 
1.2566371 1.5707963 
0.972903 0.9623368 1.0376632 0.9607848 0.9618617 1.0381383 From Analyses 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface Mean 
Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) 
(ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 
-51.2216 -7.3686 -49.2925 -7.09106 -53.1508 -7.6461 -51.9942 -7.3686 -50.01 -7.09 -53.98 -7.65 -49.4942 -7.36858 
-48.9611 -10.0912 -47.117 -9.71113 -50.8051 -10.4713 -49.7336 -10.0912 -47.84 -9.71 -51.63 -10.48 -47.2336 -10.0912 
-46.6556 -11.9466 -44.8984 -11.4967 -48.4128 -12.3965 -47.4282 -11.9466 -45.62 -11.49 -49.24 -12.40 -44.9282 -11.9466 
-44.2795 -13.3085 -42.6118 -12.8073 -45.9473 -13.8097 -45.0521 -13.3085 -43.33 -12.80 -46.77 -13.82 -42.5521 -13.3085 
-41.8666 -14.3253 -40.2897 -13.7858 -43.4434 -14.8648 -42.6391 -14.3253 -41.01 -13.78 -44.27 -14.87 -40.1391 -14.3253 
-39.3896 -15.0749 -37.906 -14.5071 -40.8731 -15.6427 -40.1621 -15.0749 -38.63 -14.50 -41.69 -15.65 -37.6621 -15.0749 
-36.8835 -15.6222 -35.4944 -15.0338 -38.2727 -16.2106 -37.6561 -15.6222 -36.22 -15.03 -39.09 -16.22 -35.1561 -15.6222 
-34.3202 -15.9898 -33.0276 -15.3876 -35.6128 -16.592 -35.0927 -15.9898 -33.75 -15.38 -36.43 -16.60 -32.5927 -15.9898 
-31.7356 -16.1945 -30.5404 -15.5846 -32.9309 -16.8044 -32.5082 -16.1945 -31.27 -15.58 -33.75 -16.81 -30.0082 -16.1945 
-29.1174 -16.2531 -28.0207 -15.641 -30.214 -16.8652 -29.8899 -16.2531 -28.75 -15.63 -31.03 -16.87 -27.3899 -16.2531 
-26.4520 -16.1787 -25.4557 -15.5694 -27.4482 -16.788 -27.2245 -16.1787 -26.19 -15.56 -28.26 -16.80 -24.7245 -16.1787 
-23.7769 -15.9818 -22.8814 -15.3799 -24.6724 -16.5837 -24.5494 -15.9818 -23.61 -15.37 -25.49 -16.59 -22.0494 -15.9818 
-21.0617 -15.6779 -20.2684 -15.0874 -21.8549 -16.2684 -21.8342 -15.6779 -21.00 -15.08 -22.67 -16.28 -19.3342 -15.6779 
-18.3443 -15.2753 -17.6534 -14.7 -19.0352 -15.8506 -19.1168 -15.2753 -18.39 -14.69 -19.85 -15.86 -16.6168 -15.2753 
-15.5937 -14.7741 -15.0064 -14.2177 -16.1811 -15.3305 -16.3663 -14.7741 -15.74 -14.21 -16.99 -15.34 -13.8663 -14.7741 
-12.8486 -14.1800 -12.3646 -13.6459 -13.3325 -14.7141 -13.6211 -14.1800 -13.10 -13.64 -14.14 -14.72 -11.1211 -14.18 
-10.0949 -13.4983 -9.71471 -12.9899 -10.4751 -14.0067 -10.8675 -13.4983 -10.45 -12.98 -11.28 -14.01 -8.3675 -13.4983 
-7.3189 -12.7337 -7.04321 -12.2541 -7.59452 -13.2133 -8.0914 -12.7337 -7.78 -12.25 -8.40 -13.22 -5.5914 -12.7337 
-4.5592 -11.8875 -4.38745 -11.4398 -4.73087 -12.3352 -5.3317 -11.8875 -5.13 -11.43 -5.54 -12.34 -2.8317 -11.8875 
-1.7843 -10.9549 -1.71709 -10.5423 -1.8515 -11.3675 -2.5568 -10.9549 -2.46 -10.54 -2.65 -11.37 -0.0568 -10.9549 
0.9670 -9.9481 0.930562 -9.5734 1.003401 -10.3228 0.1944 -9.9481 0.19 -9.57 0.20 -10.33 2.6944 -9.94808 
3.7261 -8.8705 3.585729 -8.53641 3.8664 -9.20459 2.9535 -8.8705 2.84 -8.53 3.07 -9.21 5.4535 -8.8705 
6.4544 -7.7257 6.211314 -7.43472 6.697502 -8.01666 5.6819 -7.7257 5.47 -7.43 5.90 -8.02 8.1819 -7.72569 
9.1831 -6.5170 8.83725 -6.27154 9.528982 -6.76244 8.4106 -6.5170 8.09 -6.27 8.73 -6.77 10.9106 -6.51699 
11.8740 -5.2477 11.42681 -5.05006 12.32124 -5.44536 11.1015 -5.2477 10.68 -5.05 11.52 -5.45 13.6015 -5.24771 
14.5409 -3.9381 13.99321 -3.78974 15.08852 -4.08638 13.7683 -3.9381 13.24 -3.79 14.29 -4.09 16.2683 -3.93806 
17.1967 -2.5762 16.54905 -2.47913 17.84442 -2.67319 16.4242 -2.5762 15.80 -2.48 17.05 -2.67 18.9242 -2.57616 
19.8044 -1.1653 19.05852 -1.12137 20.55031 -1.20915 19.0319 -1.1653 18.31 -1.12 19.76 -1.21 21.5319 -1.16526 
22.3935 0.2914 21.55004 0.280471 23.23686 0.302425 21.6209 0.2914 20.80 0.28 22.45 0.30 24.1209 0.291448 
24.9275 1.7908 23.98861 1.723305 25.86631 1.858195 24.1549 1.7908 23.23 1.72 25.08 1.86 26.6549 1.79075 
27.4351 3.3295 26.40178 3.204052 28.46836 3.454848 26.6625 3.3295 25.65 3.20 27.68 3.46 29.1625 3.32945 
29.8809 4.9280 28.7555 4.742396 31.00633 5.113604 29.1084 4.9280 28.00 4.74 30.22 5.12 31.6084 4.928 
32.2925 6.5694 31.07626 6.322014 33.50874 6.816866 31.5200 6.5694 30.32 6.32 32.72 6.82 34.0200 6.56944 
34.6357 8.2429 33.33118 7.932475 35.94017 8.553385 33.8631 8.2429 32.57 7.93 35.15 8.56 36.3631 8.24293 
36.9223 9.9452 35.53165 9.57067 38.31288 10.31981 36.1497 9.9452 34.77 9.57 37.53 10.32 38.6497 9.94524 
39.1626 11.6731 37.68765 11.23345 40.63764 12.11275 38.3901 11.6731 36.93 11.23 39.85 12.12 40.8901 11.6731 
41.3248 13.4231 39.76841 12.91754 42.88127 13.92866 40.5523 13.4231 39.01 12.91 42.10 13.94 43.0523 13.4231 
43.4327 15.2267 41.79692 14.65321 45.06855 15.80019 42.6602 15.2267 41.03 14.65 44.29 15.81 45.1602 15.2267 
45.4560 17.0815 43.74401 16.43816 47.16805 17.72484 44.6835 17.0815 42.98 16.43 46.39 17.73 47.1835 17.0815 
47.4168 18.9498 45.63097 18.23609 49.20271 19.66351 46.6443 18.9498 44.87 18.23 48.42 19.67 49.1443 18.9498 
49.2867 20.8278 47.43044 20.04336 51.14303 21.61224 48.5142 20.8278 46.66 20.03 50.36 21.62 51.0142 20.8278 
51.0748 22.7120 49.15112 21.85659 52.9984 23.56741 50.3022 22.7120 48.38 21.85 52.22 23.58 52.8022 22.712 
52.7879 24.5988 50.79971 23.67233 54.77603 25.52527 52.0153 24.5988 50.03 23.66 54.00 25.54 54.5153 24.5988 
54.4008 26.5139 52.35185 25.5153 56.44967 27.5125 53.6282 26.5139 51.58 25.50 55.67 27.53 56.1282 26.5139 
55.9303 28.5148 53.82381 27.44084 58.03685 29.58876 55.1578 28.5148 53.05 27.43 57.26 29.60 57.6578 28.5148 
57.3536 30.5099 55.19347 29.3608 59.51371 31.659 56.5810 30.5099 54.42 29.35 58.74 31.67 59.0810 30.5099 
58.6850 32.4951 56.47476 31.27123 60.89529 33.71897 57.9125 32.4951 55.70 31.26 60.12 33.73 60.4125 32.4951 
59.9042 34.4662 57.64797 33.16809 62.16034 35.76431 59.1316 34.4662 56.88 33.15 61.39 35.78 61.6316 34.4662 
61.0229 36.4189 58.72454 35.04725 63.32117 37.79055 60.2503 36.4189 57.95 35.03 62.55 37.81 62.7503 36.4189 
62.0233 38.3490 59.68735 36.90465 64.35935 39.79335 61.2508 38.3490 58.91 36.89 63.59 39.81 63.7508 38.349

 I-30 
d) Anneal,Sz (continued) 
In Metric Unit 
Unit Conv: 1.0000 in = 25.4000 mm 1.0000 ksi = 6.8948 MPa 1.0000 ksi-in^0.5= 1.0988 MPa-m^0.5 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Depth Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) 
(mm) MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 
0.3988 -341.2503 -8.0969 -328.7460 -7.8002 -353.7547 -8.3936 -342.0940 -8.0969 -329.5346 -7.7996 -354.6533 -8.3942 
0.8001 -325.6644 -11.0886 -313.7311 -10.6823 -337.5976 -11.4950 -326.5080 -11.0886 -314.5209 -10.6815 -338.4951 -11.4957 
1.1989 -309.7688 -13.1274 -298.4180 -12.6464 -321.1195 -13.6085 -310.6124 -13.1274 -299.2089 -12.6455 -322.0160 -13.6094 
1.6002 -293.3863 -14.6240 -282.6359 -14.0881 -304.1368 -15.1598 -294.2300 -14.6240 -283.4279 -14.0871 -305.0321 -15.1608 
1.9990 -276.7493 -15.7413 -266.6085 -15.1645 -286.8902 -16.3181 -277.5930 -15.7413 -267.4017 -15.1633 -287.7843 -16.3192 
2.4003 -259.6710 -16.5649 -250.1560 -15.9580 -269.1861 -17.1719 -260.5147 -16.5649 -250.9503 -15.9568 -270.0790 -17.1731 
2.7991 -242.3926 -17.1663 -233.5107 -16.5373 -251.2745 -17.7954 -243.2362 -17.1663 -234.3062 -16.5361 -252.1662 -17.7966 
3.2004 -224.7190 -17.5703 -216.4847 -16.9265 -232.9533 -18.2141 -225.5627 -17.5703 -217.2816 -16.9252 -233.8438 -18.2153 
3.5992 -206.8991 -17.7952 -199.3178 -17.1431 -214.4805 -18.4473 -207.7427 -17.7952 -200.1159 -17.1419 -215.3696 -18.4485 
3.9980 -188.8467 -17.8596 -181.9268 -17.2052 -195.7665 -18.5140 -189.6903 -17.8596 -182.7262 -17.2039 -196.6544 -18.5153 
4.3993 -170.4696 -17.7779 -164.2231 -17.1264 -176.7160 -18.4293 -171.3132 -17.7779 -165.0238 -17.1252 -177.6027 -18.4305 
4.7981 -152.0255 -17.5615 -146.4549 -16.9180 -157.5961 -18.2050 -152.8691 -17.5615 -147.2568 -16.9168 -158.4814 -18.2062 
5.1994 -133.3046 -17.2276 -128.4199 -16.5963 -138.1892 -17.8588 -134.1482 -17.2276 -129.2232 -16.5951 -139.0732 -17.8600 
5.5982 -114.5688 -16.7852 -110.3707 -16.1701 -118.7669 -17.4002 -115.4124 -16.7852 -111.1753 -16.1689 -119.6496 -17.4014 
5.9995 -95.6047 -16.2344 -92.1015 -15.6395 -99.1079 -16.8293 -96.4483 -16.2344 -92.9074 -15.6384 -99.9892 -16.8304 
6.3983 -76.6772 -15.5816 -73.8676 -15.0106 -79.4869 -16.1525 -77.5209 -15.5816 -74.6748 -15.0095 -80.3669 -16.1536 
6.7970 -57.6916 -14.8325 -55.5776 -14.2890 -59.8056 -15.3760 -58.5352 -14.8325 -56.3862 -14.2880 -60.6842 -15.3771 
7.1984 -38.5514 -13.9923 -37.1388 -13.4796 -39.9640 -14.5051 -39.3950 -13.9923 -37.9487 -13.4786 -40.8413 -14.5060 
7.5971 -19.5239 -13.0625 -18.8085 -12.5839 -20.2393 -13.5411 -20.3675 -13.0625 -19.6198 -12.5829 -21.1153 -13.5421 
7.9985 -0.3919 -12.0377 -0.3775 -11.5966 -0.4062 -12.4788 -1.2355 -12.0377 -1.1901 -11.5958 -1.2809 -12.4797 
8.3972 18.5775 -10.9314 17.8968 -10.5308 19.2582 -11.3319 17.7339 -10.9314 17.0828 -10.5301 18.3849 -11.3327 
8.7986 37.6007 -9.7473 36.2229 -9.3901 38.9785 -10.1045 36.7571 -9.7473 35.4076 -9.3894 38.1065 -10.1051 
9.1973 56.4120 -8.4893 54.3449 -8.1782 58.4791 -8.8004 55.5683 -8.4893 53.5283 -8.1777 57.6084 -8.8010 
9.5987 75.2258 -7.1611 72.4693 -6.8987 77.9822 -7.4236 74.3821 -7.1611 71.6513 -6.8982 77.1129 -7.4241 
9.9974 93.7789 -5.7664 90.3426 -5.5551 97.2152 -5.9777 92.9353 -5.7664 89.5233 -5.5547 96.3472 -5.9781 
10.3962 112.1661 -4.3273 108.0561 -4.1687 116.2762 -4.4859 111.3225 -4.3273 107.2355 -4.1684 115.4095 -4.4862 
10.7975 130.4777 -2.8308 125.6967 -2.7271 135.2588 -2.9345 129.6341 -2.8308 124.8748 -2.7269 134.3934 -2.9347 
11.1963 148.4570 -1.2804 143.0172 -1.2335 153.8969 -1.3274 147.6134 -1.2804 142.1940 -1.2334 153.0327 -1.3274 
11.5976 166.3078 0.3203 160.2139 0.3085 172.4018 0.3320 165.4642 0.3203 159.3895 0.3085 171.5389 0.3320 
11.9964 183.7792 1.9678 177.0450 1.8956 190.5134 2.0399 182.9356 1.9678 176.2194 1.8955 189.6517 2.0400 
12.3977 201.0685 3.6585 193.7009 3.5245 208.4362 3.7926 200.2249 3.6585 192.8740 3.5242 207.5758 3.7929 
12.7965 217.9320 5.4151 209.9464 5.2167 225.9177 5.6135 217.0884 5.4151 209.1184 5.2163 225.0584 5.6139 
13.1978 234.5593 7.2188 225.9644 6.9543 243.1542 7.4833 233.7157 7.2188 225.1353 6.9538 242.2961 7.4838 
13.5966 250.7150 9.0577 241.5281 8.7258 259.9018 9.3896 249.8713 9.0577 240.6978 8.7251 259.0449 9.3902 
13.9954 266.4804 10.9283 256.7159 10.5278 276.2450 11.3287 265.6368 10.9283 255.8844 10.5270 275.3892 11.3295 
14.3967 281.9273 12.8269 271.5968 12.3569 292.2579 13.2969 281.0837 12.8269 270.7642 12.3560 291.4032 13.2978 
14.7955 296.8351 14.7499 285.9583 14.2094 307.7120 15.2904 295.9915 14.7499 285.1247 14.2084 306.8583 15.2914 
15.1968 311.3685 16.7318 299.9592 16.1187 322.7779 17.3448 310.5249 16.7318 299.1246 16.1175 321.9253 17.3460 
15.5956 325.3187 18.7699 313.3981 18.0821 337.2392 19.4577 324.4750 18.7699 312.5625 18.0808 336.3875 19.4590 
15.9969 338.8380 20.8229 326.4221 20.0598 351.2539 21.5859 337.9944 20.8229 325.5855 20.0584 350.4032 21.5873 
16.3957 351.7305 22.8865 338.8421 22.0479 364.6188 23.7251 350.8868 22.8865 338.0047 22.0462 363.7690 23.7267 
16.7945 364.0584 24.9569 350.7184 24.0424 377.3985 25.8714 363.2148 24.9569 349.8801 24.0407 376.5496 25.8732 
17.1958 375.8699 27.0302 362.0971 26.0398 389.6428 28.0207 375.0263 27.0302 361.2579 26.0379 388.7947 28.0226 
17.5946 386.9904 29.1346 372.8101 28.0670 401.1708 30.2022 386.1468 29.1346 371.9701 28.0650 400.3235 30.2042 
17.9959 397.5364 31.3333 382.9696 30.1852 412.1032 32.4814 396.6928 31.3333 382.1290 30.1829 411.2566 32.4836 
18.3947 407.3495 33.5256 392.4231 32.2971 422.2758 34.7541 406.5058 33.5256 391.5817 32.2948 421.4299 34.7564 
18.7960 416.5294 35.7070 401.2666 34.3986 431.7921 37.0154 415.6857 35.7070 400.4246 34.3961 430.9469 37.0179 
19.1948 424.9350 37.8729 409.3642 36.4852 440.5057 39.2607 424.0913 37.8729 408.5216 36.4825 439.6611 39.2634 
19.5961 432.6482 40.0187 416.7948 38.5523 448.5015 41.4850 431.8045 40.0187 415.9516 38.5494 447.6574 41.4879 
19.9949 439.5463 42.1395 423.4402 40.5954 455.6525 43.6836 438.7027 42.1395 422.5965 40.5925 454.8088 43.6866

 I-31 
d) Anneal,Sz (continued) 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) 
MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 
-344.5423 -8.0969 -331.8221 -7.7980 -357.2625 -8.3958 -348.3556 -8.0969 -335.3812 -7.7953 -361.3301 -8.3985 
-328.9563 -11.0886 -316.8115 -10.6793 -341.1011 -11.4980 -332.7697 -11.0886 -320.3757 -10.6757 -345.1636 -11.5016 
-313.0607 -13.1274 -301.5028 -12.6428 -324.6187 -13.6121 -316.8741 -13.1274 -305.0722 -12.6385 -328.6760 -13.6164 
-296.6783 -14.6240 -285.7252 -14.0840 -307.6314 -15.1639 -300.4916 -14.6240 -289.2999 -14.0793 -311.6834 -15.1686 
-280.0413 -15.7413 -269.7024 -15.1601 -290.3802 -16.3224 -283.8546 -15.7413 -273.2825 -15.1550 -294.4267 -16.3275 
-262.9630 -16.5649 -253.2546 -15.9534 -272.6714 -17.1765 -266.7763 -16.5649 -256.8403 -15.9480 -276.7123 -17.1819 
-245.6845 -17.1663 -236.6140 -16.5326 -254.7550 -17.8001 -249.4979 -17.1663 -240.2054 -16.5270 -258.7903 -17.8057 
-228.0110 -17.5703 -219.5930 -16.9216 -236.4290 -18.2190 -231.8243 -17.5703 -223.1901 -16.9159 -240.4586 -18.2247 
-210.1911 -17.7952 -202.4310 -17.1382 -217.9511 -18.4522 -214.0044 -17.7952 -206.0339 -17.1324 -221.9750 -18.4580 
-192.1386 -17.8596 -185.0450 -17.2002 -199.2322 -18.5190 -195.9520 -17.8596 -188.6538 -17.1944 -203.2501 -18.5248 
-173.7615 -17.7779 -167.3464 -17.1215 -180.1767 -18.4342 -177.5749 -17.7779 -170.9611 -17.1157 -184.1886 -18.4400 
-155.3174 -17.5615 -149.5832 -16.9131 -161.0516 -18.2098 -159.1308 -17.5615 -153.2040 -16.9074 -165.0576 -18.2156 
-136.5965 -17.2276 -131.5535 -16.5915 -141.6395 -17.8636 -140.4099 -17.2276 -135.1803 -16.5859 -145.6394 -17.8692 
-117.8607 -16.7852 -113.5094 -16.1655 -122.2121 -17.4049 -121.6741 -16.7852 -117.1424 -16.1600 -126.2058 -17.4103 
-98.8966 -16.2344 -95.2454 -15.6351 -102.5478 -16.8338 -102.7100 -16.2344 -98.8846 -15.6298 -106.5354 -16.8391 
-79.9692 -15.5816 -77.0168 -15.0063 -82.9216 -16.1569 -83.7825 -15.5816 -80.6621 -15.0013 -86.9030 -16.1619 
-60.9835 -14.8325 -58.7321 -14.2849 -63.2350 -15.3801 -64.7969 -14.8325 -62.3835 -14.2801 -67.2102 -15.3849 
-41.8433 -13.9923 -40.2985 -13.4758 -43.3882 -14.5089 -45.6567 -13.9923 -43.9562 -13.4712 -47.3572 -14.5135 
-22.8158 -13.0625 -21.9735 -12.5802 -23.6582 -13.5448 -26.6292 -13.0625 -25.6374 -12.5760 -27.6210 -13.5490 
-3.6838 -12.0377 -3.5478 -11.5933 -3.8198 -12.4821 -7.4972 -12.0377 -7.2179 -11.5894 -7.7764 -12.4861 
15.2855 -10.9314 14.7212 -10.5278 15.8499 -11.3350 11.4722 -10.9314 11.0449 -10.5242 11.8995 -11.3385 
34.3088 -9.7473 33.0421 -9.3874 35.5754 -10.1071 30.4954 -9.7473 29.3596 -9.3843 31.6312 -10.1103 
53.1200 -8.4893 51.1589 -8.1759 55.0812 -8.8027 49.3067 -8.4893 47.4703 -8.1731 51.1431 -8.8055 
71.9338 -7.1611 69.2781 -6.8968 74.5895 -7.4255 68.1204 -7.1611 65.5833 -6.8944 70.6576 -7.4279 
90.4870 -5.7664 87.1463 -5.5535 93.8277 -5.9793 86.6736 -5.7664 83.4455 -5.5516 89.9018 -5.9812 
108.8742 -4.3273 104.8546 -4.1675 112.8937 -4.4871 105.0608 -4.3273 101.1479 -4.1661 108.9738 -4.4885 
127.1858 -2.8308 122.4902 -2.7263 131.8814 -2.9353 123.3724 -2.8308 118.7775 -2.7254 127.9674 -2.9362 
145.1651 -1.2804 139.8057 -1.2332 150.5244 -1.3277 141.3517 -1.2804 136.0871 -1.2327 146.6163 -1.3281 
163.0159 0.3203 156.9974 0.3084 169.0343 0.3321 159.2025 0.3203 153.2731 0.3083 165.1320 0.3322 
180.4872 1.9678 173.8238 1.8951 187.1507 2.0404 176.6739 1.9678 170.0937 1.8945 183.2541 2.0410 
197.7766 3.6585 190.4748 3.5235 205.0783 3.7936 193.9632 3.6585 186.7391 3.5223 201.1874 3.7948 
214.6401 5.4151 206.7158 5.2152 222.5644 5.6150 210.8267 5.4151 202.9746 5.2134 218.6789 5.6168 
231.2674 7.2188 222.7292 6.9523 239.8056 7.4853 227.4540 7.2188 218.9826 6.9499 235.9255 7.4876 
247.4230 9.0577 238.2883 8.7233 256.5577 9.3921 243.6097 9.0577 234.5365 8.7203 252.6828 9.3950 
263.1885 10.9283 253.4718 10.5248 272.9052 11.3317 259.3751 10.9283 249.7148 10.5212 269.0355 11.3353 
278.6354 12.8269 268.3484 12.3533 288.9224 13.3005 274.8220 12.8269 264.5863 12.3492 285.0577 13.3046 
293.5432 14.7499 282.7058 14.2053 304.3805 15.2944 289.7298 14.7499 278.9389 14.2005 300.5207 15.2992 
308.0766 16.7318 296.7027 16.1140 319.4505 17.3495 304.2632 16.7318 292.9310 16.1086 315.5954 17.3549 
322.0267 18.7699 310.1378 18.0769 333.9157 19.4629 318.2134 18.7699 306.3616 18.0708 330.0651 19.4690 
335.5461 20.8229 323.1580 20.0541 347.9341 21.5916 331.7327 20.8229 319.3774 20.0473 344.0880 21.5984 
348.4385 22.8865 335.5745 22.0415 361.3026 23.7314 344.6252 22.8865 331.7897 22.0341 357.4606 23.7389 
360.7665 24.9569 347.4473 24.0355 374.0857 25.8783 356.9531 24.9569 343.6585 24.0274 370.2478 25.8864 
372.5780 27.0302 358.8227 26.0323 386.3332 28.0282 368.7646 27.0302 355.0301 26.0235 382.4992 28.0370 
383.6985 29.1346 369.5326 28.0590 397.8643 30.2102 379.8851 29.1346 365.7364 28.0495 394.0339 30.2197 
394.2445 31.3333 379.6893 30.1765 408.7997 32.4901 390.4311 31.3333 375.8896 30.1663 404.9726 32.5003 
404.0575 33.5256 389.1401 32.2879 418.9750 34.7633 400.2442 33.5256 385.3372 32.2769 415.1512 34.7742 
413.2374 35.7070 397.9810 34.3887 428.4938 37.0253 409.4241 35.7070 394.1752 34.3771 424.6730 37.0369 
421.6430 37.8729 406.0763 36.4747 437.2097 39.2712 417.8297 37.8729 402.2677 36.4624 433.3916 39.2835 
429.3562 40.0187 413.5047 38.5412 445.2077 41.4961 425.5429 40.0187 409.6936 38.5282 441.3921 41.5091 
436.2544 42.1395 420.1482 40.5838 452.3605 43.6953 432.4410 42.1395 416.3349 40.5701 448.5472 43.7090

 I-32 
d) Anneal,Sz (continued) 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) 
MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa 
-353.1607 -8.0969 -339.8596 -7.7920 -366.4619 -8.4019 -358.4872 -8.0969 -344.8152 -7.7881 -372.1593 -8.4057 
-337.5748 -11.0886 -324.8606 -10.6710 -350.2889 -11.5063 -342.9012 -11.0886 -329.8236 -10.6657 -355.9789 -11.5115 
-321.6792 -13.1274 -309.5637 -12.6330 -333.7947 -13.6219 -327.0057 -13.1274 -314.5342 -12.6268 -339.4771 -13.6281 
-305.2967 -14.6240 -293.7983 -14.0732 -316.7952 -15.1747 -310.6232 -14.6240 -298.7766 -14.0662 -322.4699 -15.1817 
-288.6597 -15.7413 -277.7879 -15.1484 -299.5316 -16.3341 -293.9862 -15.7413 -282.7741 -15.1409 -305.1983 -16.3416 
-271.5814 -16.5649 -261.3528 -15.9411 -281.8101 -17.1888 -276.9079 -16.5649 -266.3471 -15.9332 -287.4687 -17.1967 
-254.3030 -17.1663 -244.7251 -16.5198 -263.8808 -17.8129 -259.6295 -17.1663 -249.7276 -16.5117 -269.5313 -17.8210 
-236.6294 -17.5703 -227.7172 -16.9085 -245.5417 -18.2320 -241.9559 -17.5703 -232.7281 -16.9002 -251.1837 -18.2404 
-218.8095 -17.7952 -210.5684 -17.1250 -227.0506 -18.4654 -224.1360 -17.7952 -215.5878 -17.1165 -232.6842 -18.4739 
-200.7571 -17.8596 -193.1959 -17.1870 -208.3182 -18.5323 -206.0835 -17.8596 -198.2239 -17.1785 -213.9432 -18.5407 
-182.3800 -17.7779 -175.5110 -17.1083 -189.2490 -18.4474 -187.7065 -17.7779 -180.5477 -17.0998 -194.8653 -18.4559 
-163.9359 -17.5615 -157.7615 -16.9001 -170.1102 -18.2229 -169.2624 -17.5615 -162.8070 -16.8917 -175.7177 -18.2313 
-145.2150 -17.2276 -139.7457 -16.5787 -150.6842 -17.8764 -150.5415 -17.2276 -144.8001 -16.5705 -156.2828 -17.8846 
-126.4792 -16.7852 -121.7156 -16.1530 -131.2428 -17.4173 -131.8057 -16.7852 -126.7788 -16.1450 -136.8325 -17.4253 
-107.5151 -16.2344 -103.4657 -15.6230 -111.5644 -16.8459 -112.8416 -16.2344 -108.5380 -15.6153 -117.1452 -16.8536 
-88.5876 -15.5816 -85.2511 -14.9947 -91.9241 -16.1684 -93.9141 -15.5816 -90.3324 -14.9873 -97.4958 -16.1758 
-69.6020 -14.8325 -66.9806 -14.2739 -72.2234 -15.3912 -74.9285 -14.8325 -72.0708 -14.2668 -77.7861 -15.3982 
-50.4618 -13.9923 -48.5612 -13.4653 -52.3623 -14.5193 -55.7883 -13.9923 -53.6606 -13.4587 -57.9160 -14.5260 
-31.4343 -13.0625 -30.2504 -12.5705 -32.6182 -13.5545 -36.7608 -13.0625 -35.3588 -12.5643 -38.1628 -13.5607 
-12.3023 -12.0377 -11.8389 -11.5843 -12.7656 -12.4911 -17.6288 -12.0377 -16.9564 -11.5786 -18.3011 -12.4968 
6.6671 -10.9314 6.4160 -10.5197 6.9182 -11.3431 1.3406 -10.9314 1.2895 -10.5145 1.3917 -11.3483 
25.6903 -9.7473 24.7227 -9.3802 26.6579 -10.1144 20.3638 -9.7473 19.5872 -9.3755 21.1405 -10.1190 
44.5016 -8.4893 42.8255 -8.1696 46.1776 -8.8091 39.1751 -8.4893 37.6810 -8.1656 40.6692 -8.8131 
63.3154 -7.1611 60.9307 -6.8914 65.7000 -7.4309 57.9889 -7.1611 55.7773 -6.8880 60.2005 -7.4343 
81.8685 -5.7664 78.7851 -5.5492 84.9520 -5.9836 76.5420 -5.7664 73.6228 -5.5465 79.4612 -5.9863 
100.2557 -4.3273 96.4798 -4.1643 104.0317 -4.4903 94.9292 -4.3273 91.3088 -4.1623 98.5497 -4.4923 
118.5673 -2.8308 114.1017 -2.7242 123.0330 -2.9374 113.2408 -2.8308 108.9220 -2.7228 117.5597 -2.9388 
136.5466 -1.2804 131.4038 -1.2322 141.6894 -1.3287 131.2201 -1.2804 126.2156 -1.2316 136.2246 -1.3293 
154.3974 0.3203 148.5823 0.3082 160.2125 0.3323 149.0709 0.3203 143.3856 0.3080 154.7562 0.3325 
171.8688 1.9678 165.3957 1.8936 178.3419 2.0419 166.5423 1.9678 160.1907 1.8927 172.8939 2.0428 
189.1581 3.6585 182.0338 3.5208 196.2825 3.7963 183.8317 3.6585 176.8206 3.5190 190.8427 3.7981 
206.0216 5.4151 198.2622 5.2111 213.7811 5.6190 200.6952 5.4151 193.0410 5.2086 208.3493 5.6216 
222.6489 7.2188 214.2632 6.9469 231.0346 7.4907 217.3224 7.2188 209.0341 6.9435 225.6107 7.4941 
238.8046 9.0577 229.8104 8.7165 247.7987 9.3988 233.4781 9.0577 224.5736 8.7122 242.3825 9.4031 
254.5700 10.9283 244.9821 10.5167 264.1580 11.3399 249.2435 10.9283 239.7378 10.5115 258.7493 11.3450 
270.0169 12.8269 259.8472 12.3438 280.1866 13.3100 264.6904 12.8269 254.5956 12.3377 274.7853 13.3161 
284.9247 14.7499 274.1935 14.1944 295.6559 15.3054 279.5982 14.7499 268.9348 14.1873 290.2616 15.3124 
299.4581 16.7318 288.1796 16.1016 310.7367 17.3619 294.1317 16.7318 282.9140 16.0936 305.3493 17.3699 
313.4083 18.7699 301.6043 18.0630 325.2122 19.4768 308.0818 18.7699 296.3321 18.0540 319.8315 19.4857 
326.9276 20.8229 314.6145 20.0386 339.2408 21.6071 321.6011 20.8229 309.3358 20.0287 333.8664 21.6170 
339.8201 22.8865 327.0213 22.0245 352.6188 23.7485 334.4936 22.8865 321.7366 22.0136 347.2506 23.7593 
352.1480 24.9569 338.8850 24.0170 365.4111 25.8969 346.8216 24.9569 333.5944 24.0051 360.0487 25.9087 
363.9595 27.0302 350.2516 26.0122 377.6674 28.0483 358.6330 27.0302 344.9554 25.9993 372.3107 28.0611 
375.0800 29.1346 360.9533 28.0373 389.2068 30.2319 369.7535 29.1346 355.6518 28.0235 383.8553 30.2458 
385.6260 31.3333 371.1021 30.1532 400.1500 32.5134 380.2995 31.3333 365.7956 30.1383 394.8035 32.5283 
395.4391 33.5256 380.5456 32.2629 410.3326 34.7883 390.1126 33.5256 375.2344 32.2470 404.9908 34.8042 
404.6190 35.7070 389.3797 34.3622 419.8582 37.0519 399.2925 35.7070 384.0642 34.3452 414.5208 37.0688 
413.0246 37.8729 397.4687 36.4465 428.5804 39.2994 407.6981 37.8729 392.1492 36.4285 423.2470 39.3174 
420.7378 40.0187 404.8914 38.5114 436.5841 41.5259 415.4113 40.0187 399.5682 38.4924 431.2543 41.5449 
427.6359 42.1395 411.5298 40.5524 443.7421 43.7266 422.3094 42.1395 406.2033 40.5324 438.4156 43.7467

 I-33 
e) Anneal,SzPlt 
Annealed, Outer Lid, Crack Originated From Outside Surface, 
Sz, at 0 Deg 
-400 
-300 
-200 
-100
0 
100 
200 
300 
400 
500
0 2 4 6 8 10 12 14 16 18 20 
Distance From Outside Surface (mm) 
Hoop Stress (MPa) 
Mean 
Min (Inside 
Surface) 
Max(Inside 
Surface)

 I-34 
f) Anneal,KSzPlt 
Annealed, Outer Lid, Crack Originated From Outside Surface, Sz, at 0 Deg. 
-30 
-20 
-10
0 
10 
20 
30 
40 
50
0 2 4 6 8 10 12 14 16 18 20 
Crack Depth from Outside Surface (mm) 
K (MPa-m^0.5) 
Mean 
Min 
Max

 I-35 
The Excel File S&K_IL_Peen DTN: LL000316105924.141 contains the following nine 
items: 
a) Peening,1-1,Sn  Excel tables containing radial stress and stress intensity factor profiles as a 
function of depth at location designated as 0, 18, 36, 54, 72, and 90 degrees along the 
circumference of the closure weld. Mean, maximum and minimum stress and stress intensity 
values are given at each of the locations to characterize uncertainty. Stress and stress 
intensity factor profiles are presented in the first table by British units, i.e., stress in ksi, 
distance in inches and stress intensity factor in ksi (in)1/2 and in the second table by metric 
units, i.e., stress in MPa, distance in m and stress intensity factor in MPa (m)1/2. The 
variability of the mean stress along the circumference is represented by Eq. 7. 
Mean stress intensity factor is calculated from mean stress at 0 degree. Variability and 
uncertainty for stress intensity factor are handled similarly to those for stress because stress 
intensity factor is a linear function of stress. 
b) Peening,1-1,SnPlt  Plot depicting mean, minimum and maximum radial stress profiles at 0 
degree. 
c) Peening,1-1,SnPlt  Plot depicting mean, minimum and maximum radial stress intensity 
factor profiles at 0 degree. 
d) Peening,2-2,Sz - Excel tables containing hoop stress and stress intensity factor profiles as a 
function of depth at location designated as 0, 18, 36, 54, 72, and 90 degrees along the 
circumference of the closure weld. 
e) Peening,2-2,SzPlt - Plot depicting mean, minimum and maximum hoop stress profiles at 0 
degree. 
f) Peening,2-2,SzPlt - Plot depicting mean, minimum and maximum hoop stress intensity factor 
profiles at 0 degree. 
g) Peening,3-3,Sy - Excel tables containing longitudinal stress and stress intensity factor 
profiles as a function of depth at location designated as 0, 18, 36, 54, 72, and 90 degrees 
along the circumference of the closure weld. 
h) Peening,3-3,SyPlt - Plot depicting mean, minimum and maximum longitudinal stress profiles 
at 0 degree. 
i) Peening,3-3,SyPlt - Plot depicting mean, minimum and maximum longitudinal stress 
intensity factor profiles at 0 degree.

 I-36 
a) Peening,1-1,Sn 
Results in Metric Unit start in Cell A80 
Angle(deg): 0 18 
(rad): 0 0.3141593 
Scale Facto 1 1.0765414 0.9234586 1.0040092 1.0762357 0.9237643 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Depth Stress: Sn K(Sn) Stress: Sn K(Sn) Stress: Sn K(Sn) Stress: Sn K(Sn) Stress: Sn K(Sn) Stress: Sn K(Sn) 
(in) (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 
0 -41.3810 0.0000 -44.5484 0 -38.2136 0 -41.5034 0.0000 -44.6674 0 -38.3393 0 
0.0096 -40.2878 -7.6201 -43.3715 -8.20341 -37.2041 -7.03689 -40.4102 -7.6507 -43.4909 -8.23396 -37.3295 -7.06744 
0.0193 -39.2619 -10.6697 -42.2671 -11.4864 -36.2568 -9.85303 -39.3843 -10.7125 -42.3868 -11.5292 -36.3818 -9.89581 
0.0289 -38.3219 -12.8956 -41.2551 -13.8827 -35.3887 -11.9086 -38.4443 -12.9473 -41.3751 -13.9344 -35.5134 -11.9603 
0.0386 -37.4454 -14.6408 -40.3116 -15.7614 -34.5793 -13.5202 -37.5678 -14.6995 -40.4318 -15.8201 -34.7038 -13.5789 
0.0482 -36.6480 -16.0391 -39.4531 -17.2667 -33.8429 -14.8114 -36.7704 -16.1034 -39.5736 -17.331 -33.9672 -14.8757 
0.0578 -35.9176 -17.1555 -38.6668 -18.4686 -33.1684 -15.8424 -36.0400 -17.2243 -38.7875 -18.5374 -33.2924 -15.9112 
0.0675 -35.2450 -18.3226 -37.9427 -19.725 -32.5473 -16.9202 -35.3674 -18.3961 -38.0636 -19.7985 -32.6711 -16.9936 
0.0771 -34.6415 -19.4042 -37.293 -20.8894 -31.99 -17.919 -34.7638 -19.4820 -37.4141 -20.9672 -32.1136 -17.9968 
0.0868 -34.0917 -20.3059 -36.7012 -21.8602 -31.4823 -18.7517 -34.2141 -20.3873 -36.8224 -21.9416 -31.6058 -18.8331 
0.0964 -33.6045 -21.0525 -36.1767 -22.6639 -31.0324 -19.4411 -33.7269 -21.1369 -36.2981 -22.7483 -31.1557 -19.5255 
0.106 -33.1712 -21.6490 -35.7102 -23.3061 -30.6323 -19.992 -33.2936 -21.7358 -35.8318 -23.3929 -30.7554 -20.0788 
0.1157 -32.7856 -22.0976 -35.295 -23.789 -30.2761 -20.4062 -32.9079 -22.1862 -35.4167 -23.8776 -30.3992 -20.4948 
0.1253 -32.4529 -22.5599 -34.9369 -24.2866 -29.9689 -20.8331 -32.5752 -22.6503 -35.0586 -24.3771 -30.0918 -20.9236 
0.135 -32.1635 -23.0234 -34.6254 -24.7856 -29.7017 -21.2611 -32.2859 -23.1157 -34.7472 -24.8779 -29.8245 -21.3534 
0.1446 -31.9208 -23.3889 -34.3641 -25.1791 -29.4776 -21.5987 -32.0432 -23.4827 -34.486 -25.2729 -29.6004 -21.6925 
0.1542 -31.7190 -23.6565 -34.1469 -25.4672 -29.2912 -21.8458 -31.8414 -23.7514 -34.2688 -25.5621 -29.4139 -21.9407 
0.1639 -31.5540 -23.8240 -33.9692 -25.6476 -29.1388 -22.0005 -31.6763 -23.9195 -34.0912 -25.7431 -29.2615 -22.096 
0.1735 -31.4264 -23.9270 -33.8319 -25.7584 -29.021 -22.0956 -31.5488 -24.0229 -33.954 -25.8543 -29.1437 -22.1915 
0.1832 -31.3311 -24.0306 -33.7292 -25.8699 -28.933 -22.1913 -31.4535 -24.1269 -33.8514 -25.9663 -29.0556 -22.2876 
0.1928 -31.2673 -24.3168 -33.6606 -26.178 -28.8741 -22.4555 -31.3897 -24.4143 -33.7827 -26.2755 -28.9967 -22.553 
0.2024 -31.2313 -24.5290 -33.6218 -26.4065 -28.8409 -22.6515 -31.3537 -24.6273 -33.744 -26.5048 -28.9634 -22.7498 
0.2121 -31.2205 -24.6615 -33.6102 -26.5492 -28.8309 -22.7739 -31.3429 -24.7604 -33.7324 -26.648 -28.9535 -22.8728 
0.2217 -31.2325 -24.7492 -33.6231 -26.6436 -28.842 -22.8549 -31.3549 -24.8484 -33.7453 -26.7428 -28.9645 -22.9541 
0.2314 -31.2649 -24.7719 -33.658 -26.668 -28.8718 -22.8758 -31.3873 -24.8712 -33.7801 -26.7673 -28.9944 -22.9751 
0.241 -31.3144 -24.7634 -33.7112 -26.6588 -28.9175 -22.868 -31.4367 -24.8627 -33.8333 -26.7581 -29.0401 -22.9672 
0.2506 -31.3785 -25.3225 -33.7803 -27.2608 -28.9768 -23.3843 -31.5009 -25.4241 -33.9024 -27.3623 -29.0994 -23.4858 
0.2603 -31.4556 -25.7974 -33.8633 -27.7719 -29.048 -23.8228 -31.5780 -25.9008 -33.9854 -27.8753 -29.1706 -23.9262 
0.2699 -31.5415 -26.2220 -33.9557 -28.2291 -29.1273 -24.215 -31.6639 -26.3272 -34.0778 -28.3342 -29.2499 -24.3201 
0.2796 -31.6352 -26.5747 -34.0566 -28.6088 -29.2138 -24.5406 -31.7576 -26.6812 -34.1786 -28.7153 -29.3365 -24.6472 
0.2892 -31.7322 -26.8891 -34.1611 -28.9472 -29.3034 -24.831 -31.8546 -26.9969 -34.2831 -29.055 -29.4261 -24.9388 
0.2988 -31.8309 -27.1563 -34.2673 -29.2349 -29.3945 -25.0777 -31.9533 -27.2652 -34.3892 -29.3438 -29.5173 -25.1866 
0.3085 -31.9296 -27.7799 -34.3735 -29.9062 -29.4857 -25.6536 -32.0520 -27.8913 -34.4955 -30.0176 -29.6085 -25.765 
0.3181 -32.0237 -28.4827 -34.4748 -30.6628 -29.5725 -26.3026 -32.1460 -28.5969 -34.5967 -30.777 -29.6953 -26.4168 
0.3278 -32.1124 -29.0993 -34.5703 -31.3266 -29.6545 -26.872 -32.2348 -29.2160 -34.6922 -31.4433 -29.7773 -26.9887 
0.3374 -32.1913 -29.6650 -34.6553 -31.9356 -29.7274 -27.3944 -32.3137 -29.7839 -34.7772 -32.0545 -29.8502 -27.5133 
0.347 -32.2588 -30.1704 -34.728 -32.4797 -29.7897 -27.8611 -32.3812 -30.2914 -34.8498 -32.6007 -29.9126 -27.9821 
0.3567 -32.3128 -30.6064 -34.786 -32.949 -29.8395 -28.2637 -32.4351 -30.7291 -34.9079 -33.0717 -29.9624 -28.3864 
0.3663 -32.3494 -31.4897 -34.8255 -33.9 -29.8733 -29.0794 -32.4718 -31.6159 -34.9473 -34.0262 -29.9962 -29.2057 
0.376 -32.3668 -32.7421 -34.8442 -35.2483 -29.8894 -30.236 -32.4892 -32.8734 -34.966 -35.3795 -30.0123 -30.3673 
0.3856 -32.3620 -33.9002 -34.839 -36.495 -29.885 -31.3055 -32.4844 -34.0361 -34.9608 -36.6309 -30.0079 -31.4414 
0.3952 -32.3327 -34.9570 -34.8075 -37.6327 -29.8579 -32.2813 -32.4551 -35.0972 -34.9293 -37.7728 -29.9808 -32.4215 
0.4049 -32.2755 -35.9036 -34.7459 -38.6518 -29.8051 -33.1555 -32.3979 -36.0476 -34.8678 -38.7957 -29.928 -33.2995 
0.4145 -32.1890 -36.7785 -34.6528 -39.5936 -29.7253 -33.9635 -32.3114 -36.9260 -34.7747 -39.7411 -29.8481 -34.1109 
0.4242 -32.0688 -38.1413 -34.5234 -41.0606 -29.6142 -35.2219 -32.1911 -38.2942 -34.6453 -41.2136 -29.737 -35.3748 
0.4338 -31.9146 -41.1143 -34.3574 -44.2612 -29.4718 -37.9674 -32.0370 -41.2791 -34.4793 -44.4261 -29.5946 -38.1322 
0.4434 -31.7228 -43.8843 -34.1509 -47.2433 -29.2947 -40.5254 -31.8452 -44.0603 -34.2729 -47.4192 -29.4174 -40.7013 
0.4531 -31.4882 -46.4456 -33.8983 -50.0006 -29.078 -42.8906 -31.6106 -46.6318 -34.0204 -50.1868 -29.2007 -43.0768 
0.4627 -31.2130 -48.8477 -33.602 -52.5865 -28.8239 -45.1088 -31.3353 -49.0435 -33.7242 -52.7824 -28.9464 -45.3046 
0.4724 -30.8887 -51.0630 -33.2529 -54.9714 -28.5244 -47.1546 -31.0110 -51.2677 -33.3752 -55.1761 -28.6469 -47.3593 
0.482 -30.5194 -53.1424 -32.8554 -57.2099 -28.1834 -49.0748 -30.6418 -53.3554 -32.9778 -57.423 -28.3058 -49.2878

 I-37 
a) Peening,1-1,Sn (continued) 
36 54 
0.6283185 0.9424778 
1.0156444 1.0753624 0.9246376 1.0337666 1.0740412 0.9259588 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Stress: Sn K(Sn) Stress: Sn K(Sn) Stress: Sn K(Sn) Stress: Sn K(Sn) Stress: Sn K(Sn) Stress: Sn K(Sn) 
(ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 
-41.8585 0.0000 -45.013 0 -38.7039 0 -42.4115 0.0000 -45.5517 0 -39.2713 0 
-40.7653 -7.7394 -43.8374 -8.32262 -37.6931 -7.15611 -41.3184 -7.8775 -44.3776 -8.46071 -38.2591 -7.2942 
-39.7394 -10.8366 -42.7343 -11.6533 -36.7445 -10.0199 -40.2925 -11.0300 -43.2758 -11.8467 -37.3092 -10.2133 
-38.7994 -13.0974 -41.7234 -14.0844 -35.8753 -12.1103 -39.3524 -13.3311 -42.2661 -14.3181 -36.4387 -12.344 
-37.9229 -14.8698 -40.7809 -15.9905 -35.0649 -13.7492 -38.4760 -15.1352 -41.3248 -16.2558 -35.6272 -14.0145 
-37.1255 -16.2900 -39.9233 -17.5176 -34.3276 -15.0623 -37.6786 -16.5806 -40.4683 -17.8083 -34.8888 -15.353 
-36.3951 -17.4239 -39.1379 -18.737 -33.6523 -16.1108 -36.9482 -17.7348 -39.6838 -19.0479 -34.2125 -16.4217 
-35.7225 -18.6092 -38.4146 -20.0117 -33.0304 -17.2068 -36.2756 -18.9413 -38.9614 -20.3437 -33.5897 -17.5389 
-35.1189 -19.7077 -37.7656 -21.193 -32.4723 -18.2225 -35.6720 -20.0594 -38.3132 -21.5446 -33.0308 -18.5742 
-34.5692 -20.6236 -37.1744 -22.1778 -31.964 -19.0693 -35.1223 -20.9916 -37.7228 -22.5458 -32.5218 -19.4373 
-34.0820 -21.3819 -36.6505 -22.9932 -31.5135 -19.7705 -34.6351 -21.7634 -37.1995 -23.3748 -32.0706 -20.152 
-33.6487 -21.9877 -36.1845 -23.6448 -31.1129 -20.3307 -34.2018 -22.3800 -36.7341 -24.0371 -31.6694 -20.723 
-33.2630 -22.4433 -35.7698 -24.1347 -30.7563 -20.7519 -33.8161 -22.8438 -36.3199 -24.5351 -31.3123 -21.1524 
-32.9303 -22.9128 -35.412 -24.6396 -30.4486 -21.186 -33.4834 -23.3216 -35.9626 -25.0484 -31.0043 -21.5949 
-32.6410 -23.3836 -35.1009 -25.1458 -30.1811 -21.6213 -33.1941 -23.8008 -35.6518 -25.563 -30.7363 -22.0386 
-32.3983 -23.7548 -34.8399 -25.545 -29.9567 -21.9646 -32.9514 -24.1787 -35.3911 -25.9689 -30.5116 -22.3885 
-32.1965 -24.0266 -34.6229 -25.8373 -29.7701 -22.2159 -32.7496 -24.4553 -35.1744 -26.266 -30.3248 -22.6446 
-32.0314 -24.1967 -34.4454 -26.0203 -29.6175 -22.3732 -32.5845 -24.6285 -34.9971 -26.452 -30.1719 -22.805 
-31.9039 -24.3013 -34.3083 -26.1327 -29.4996 -22.4699 -32.4570 -24.7349 -34.8601 -26.5663 -30.0538 -22.9035 
-31.8086 -24.4065 -34.2057 -26.2459 -29.4114 -22.5672 -32.3617 -24.8420 -34.7578 -26.6813 -29.9656 -23.0027 
-31.7448 -24.6972 -34.1372 -26.5584 -29.3524 -22.8359 -32.2979 -25.1379 -34.6893 -26.9991 -29.9065 -23.2766 
-31.7088 -24.9127 -34.0985 -26.7902 -29.3192 -23.0352 -32.2619 -25.3572 -34.6506 -27.2347 -29.8732 -23.4798 
-31.6980 -25.0474 -34.0868 -26.935 -29.3092 -23.1597 -32.2511 -25.4943 -34.639 -27.3819 -29.8632 -23.6066 
-31.7100 -25.1364 -34.0997 -27.0307 -29.3203 -23.2421 -32.2631 -25.5849 -34.6519 -27.4793 -29.8743 -23.6906 
-31.7424 -25.1594 -34.1345 -27.0555 -29.3502 -23.2634 -32.2954 -25.6084 -34.6866 -27.5044 -29.9042 -23.7123 
-31.7918 -25.1508 -34.1877 -27.0462 -29.3959 -23.2554 -32.3449 -25.5996 -34.7397 -27.495 -29.95 -23.7041 
-31.8560 -25.7187 -34.2567 -27.6569 -29.4552 -23.7805 -32.4091 -26.1776 -34.8087 -28.1158 -30.0094 -24.2394 
-31.9331 -26.2009 -34.3396 -28.1755 -29.5265 -24.2264 -32.4862 -26.6684 -34.8915 -28.643 -30.0809 -24.6939 
-32.0190 -26.6323 -34.432 -28.6393 -29.6059 -24.6252 -32.5720 -27.1075 -34.9837 -29.1145 -30.1604 -25.1004 
-32.1127 -26.9904 -34.5328 -29.0245 -29.6926 -24.9564 -32.6658 -27.4720 -35.0844 -29.5061 -30.2471 -25.438 
-32.2097 -27.3097 -34.6371 -29.3679 -29.7823 -25.2516 -32.7628 -27.7970 -35.1886 -29.8552 -30.337 -25.7389 
-32.3084 -27.5811 -34.7432 -29.6597 -29.8735 -25.5026 -32.8614 -28.0733 -35.2945 -30.1519 -30.4283 -25.9947 
-32.4071 -28.2145 -34.8493 -30.3408 -29.9648 -26.0882 -32.9601 -28.7179 -35.4005 -30.8442 -30.5197 -26.5916 
-32.5011 -28.9283 -34.9505 -31.1084 -30.0518 -26.7482 -33.0542 -29.4445 -35.5016 -31.6246 -30.6068 -27.2644 
-32.5899 -29.5546 -35.0459 -31.7819 -30.1338 -27.3273 -33.1429 -30.0819 -35.5969 -32.3092 -30.689 -27.8546 
-32.6688 -30.1290 -35.1308 -32.3996 -30.2068 -27.8585 -33.2219 -30.6666 -35.6817 -32.9372 -30.7621 -28.396 
-32.7363 -30.6424 -35.2034 -32.9517 -30.2692 -28.3331 -33.2894 -31.1892 -35.7542 -33.4985 -30.8246 -28.8799 
-32.7902 -31.0852 -35.2614 -33.4278 -30.3191 -28.7425 -33.3433 -31.6398 -35.8121 -33.9825 -30.8745 -29.2972 
-32.8269 -31.9823 -35.3008 -34.3926 -30.3529 -29.5721 -33.3799 -32.5530 -35.8514 -34.9633 -30.9084 -30.1427 
-32.8443 -33.2544 -35.3195 -35.7605 -30.369 -30.7482 -33.3973 -33.8477 -35.8701 -36.3539 -30.9246 -31.3416 
-32.8395 -34.4306 -35.3143 -37.0253 -30.3646 -31.8358 -33.3926 -35.0449 -35.865 -37.6397 -30.9201 -32.4502 
-32.8102 -35.5039 -35.2828 -38.1795 -30.3375 -32.8282 -33.3632 -36.1374 -35.8335 -38.813 -30.893 -33.4617 
-32.7530 -36.4653 -35.2213 -39.2134 -30.2846 -33.7172 -33.3061 -37.1160 -35.7721 -39.8641 -30.84 -34.3679 
-32.6665 -37.3539 -35.1283 -40.169 -30.2047 -34.5388 -33.2196 -38.0204 -35.6792 -40.8355 -30.76 -35.2053 
-32.5462 -38.7380 -34.999 -41.6573 -30.0935 -35.8186 -33.0993 -39.4292 -35.55 -42.3485 -30.6486 -36.5098 
-32.3921 -41.7575 -34.8332 -44.9045 -29.9509 -38.6106 -32.9451 -42.5026 -35.3844 -45.6495 -30.5058 -39.3556 
-32.2003 -44.5709 -34.627 -47.9298 -29.7736 -41.2119 -32.7534 -45.3662 -35.1785 -48.7251 -30.3283 -42.0072 
-31.9657 -47.1722 -34.3747 -50.7272 -29.5566 -43.6172 -32.5187 -48.0139 -34.9265 -51.5689 -30.111 -44.4589 
-31.6904 -49.6119 -34.0787 -53.3507 -29.3021 -45.873 -32.2435 -50.4971 -34.6308 -54.2359 -29.8561 -46.7582 
-31.3661 -51.8618 -33.73 -55.7703 -29.0023 -47.9534 -31.9192 -52.7872 -34.2826 -56.6956 -29.5559 -48.8788 
-30.9969 -53.9737 -33.3329 -58.0413 -28.6609 -49.9061 -31.5500 -54.9368 -33.886 -59.0044 -29.214 -50.8692

 I-38 
a) Peening,1-1,Sn (continued) 
72 90 
1.2566371 1.5707963 
1.0566019 1.0724411 0.9275589 1.081915 1.0707462 0.9292538 From Analyses 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface Mean 
Stress: Sn K(Sn) Stress: Sn K(Sn) Stress: Sn K(Sn) Stress: Sn K(Sn) Stress: Sn K(Sn) Stress: Sn K(Sn) Stress: Sn K(Sn) 
(ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 
-43.1085 0.0000 -46.2313 0 -39.9856 0 -43.8810 0.0000 -46.9854 0 -40.7766 0 -41.3810 0 
-42.0153 -8.0515 -45.0589 -8.63472 -38.9716 -7.46821 -42.7878 -8.2444 -45.8149 -8.82761 -39.7607 -7.6611 -40.2878 -7.62015 
-40.9894 -11.2736 -43.9587 -12.0903 -38.0201 -10.457 -41.7619 -11.5437 -44.7164 -12.3604 -38.8074 -10.727 -39.2619 -10.6697 
-40.0494 -13.6255 -42.9506 -14.6126 -37.1481 -12.6385 -40.8219 -13.9520 -43.7099 -14.939 -37.9339 -12.9649 -38.3219 -12.8956 
-39.1729 -15.4695 -42.0106 -16.5901 -36.3352 -14.3489 -39.9454 -15.8401 -42.7714 -16.9607 -37.1195 -14.7195 -37.4454 -14.6408 
-38.3755 -16.9469 -41.1554 -18.1746 -35.5955 -15.7193 -39.1480 -17.3529 -41.9176 -18.5806 -36.3784 -16.1253 -36.6480 -16.0391 
-37.6451 -18.1265 -40.3721 -19.4396 -34.918 -16.8134 -38.4176 -18.5608 -41.1355 -19.8739 -35.6997 -17.2477 -35.9176 -17.1555 
-36.9725 -19.3597 -39.6508 -20.7621 -34.2942 -17.9573 -37.7450 -19.8235 -40.4153 -21.2259 -35.0747 -18.4211 -35.2450 -18.3226 
-36.3689 -20.5025 -39.0035 -21.9877 -33.7343 -19.0173 -37.1415 -20.9937 -39.7691 -22.4789 -34.5139 -19.5085 -34.6415 -19.4042 
-35.8192 -21.4553 -38.414 -23.0095 -33.2244 -19.901 -36.5917 -21.9693 -39.1805 -23.5235 -34.003 -20.415 -34.0917 -20.3059 
-35.3320 -22.2441 -37.8915 -23.8555 -32.7725 -20.6327 -36.1045 -22.7770 -38.6588 -24.3884 -33.5503 -21.1656 -33.6045 -21.0525 
-34.8987 -22.8744 -37.4268 -24.5315 -32.3706 -21.2174 -35.6712 -23.4224 -38.1948 -25.0795 -33.1476 -21.7654 -33.1712 -21.649 
-34.5130 -23.3484 -37.0132 -25.0397 -32.0129 -21.657 -35.2856 -23.9077 -37.7819 -25.5991 -32.7893 -22.2163 -32.7856 -22.0976 
-34.1803 -23.8368 -36.6564 -25.5636 -31.7043 -22.11 -34.9529 -24.4079 -37.4257 -26.1346 -32.4801 -22.6811 -32.4529 -22.5599 
-33.8910 -24.3266 -36.3461 -26.0888 -31.4359 -22.5643 -34.6635 -24.9093 -37.1158 -26.6716 -32.2112 -23.1471 -32.1635 -23.0234 
-33.6483 -24.7128 -36.0858 -26.503 -31.2108 -22.9225 -34.4208 -25.3048 -36.856 -27.095 -31.9857 -23.5146 -31.9208 -23.3889 
-33.4465 -24.9955 -35.8694 -26.8062 -31.0236 -23.1848 -34.2190 -25.5943 -36.6399 -27.405 -31.7982 -23.7836 -31.7190 -23.6565 
-33.2814 -25.1725 -35.6924 -26.996 -30.8705 -23.349 -34.0540 -25.7756 -36.4632 -27.5991 -31.6448 -23.952 -31.5540 -23.824 
-33.1539 -25.2813 -35.5556 -27.1127 -30.7522 -23.4499 -33.9264 -25.8869 -36.3266 -27.7183 -31.5263 -24.0555 -31.4264 -23.927 
-33.0586 -25.3908 -35.4534 -27.2301 -30.6638 -23.5514 -33.8311 -25.9990 -36.2245 -27.8384 -31.4377 -24.1597 -31.3311 -24.0306 
-32.9948 -25.6931 -35.385 -27.5544 -30.6046 -23.8319 -33.7673 -26.3087 -36.1562 -28.1699 -31.3784 -24.4474 -31.2673 -24.3168 
-32.9588 -25.9174 -35.3464 -27.7948 -30.5712 -24.0399 -33.7313 -26.5383 -36.1177 -28.4158 -31.345 -24.6608 -31.2313 -24.529 
-32.9480 -26.0574 -35.3348 -27.9451 -30.5612 -24.1698 -33.7205 -26.6817 -36.1061 -28.5693 -31.3349 -24.7941 -31.2205 -24.6615 
-32.9600 -26.1501 -35.3477 -28.0444 -30.5723 -24.2557 -33.7325 -26.7766 -36.119 -28.6709 -31.3461 -24.8822 -31.2325 -24.7492 
-32.9924 -26.1740 -35.3824 -28.0701 -30.6024 -24.278 -33.7649 -26.8011 -36.1536 -28.6972 -31.3762 -24.905 -31.2649 -24.7719 
-33.0418 -26.1650 -35.4354 -28.0605 -30.6482 -24.2696 -33.8144 -26.7919 -36.2066 -28.6873 -31.4221 -24.8965 -31.3144 -24.7634 
-33.1060 -26.7558 -35.5042 -28.6941 -30.7077 -24.8176 -33.8785 -27.3968 -36.2753 -29.335 -31.4817 -25.4586 -31.3785 -25.3225 
-33.1831 -27.2575 -35.5869 -29.2321 -30.7793 -25.283 -33.9556 -27.9105 -36.3579 -29.8851 -31.5534 -25.936 -31.4556 -25.7974 
-33.2690 -27.7062 -35.679 -29.7133 -30.8589 -25.6992 -34.0415 -28.3700 -36.4498 -30.3771 -31.6332 -26.3629 -31.5415 -26.222 
-33.3627 -28.0789 -35.7795 -30.1129 -30.9458 -26.0448 -34.1352 -28.7516 -36.5502 -30.7856 -31.7203 -26.7175 -31.6352 -26.5747 
-33.4597 -28.4111 -35.8836 -30.4692 -31.0358 -26.3529 -34.2322 -29.0917 -36.654 -31.1498 -31.8104 -27.0336 -31.7322 -26.8891 
-33.5584 -28.6934 -35.9894 -30.772 -31.1274 -26.6148 -34.3309 -29.3808 -36.7597 -31.4594 -31.9021 -27.3022 -31.8309 -27.1563 
-33.6571 -29.3523 -36.0952 -31.4786 -31.2189 -27.226 -34.4296 -30.0555 -36.8654 -32.1818 -31.9938 -27.9292 -31.9296 -27.7799 
-33.7511 -30.0949 -36.1961 -32.275 -31.3062 -27.9148 -34.5237 -30.8159 -36.9661 -32.996 -32.0812 -28.6358 -32.0237 -28.4827 
-33.8399 -30.7464 -36.2913 -32.9737 -31.3885 -28.5191 -34.6124 -31.4830 -37.0611 -33.7103 -32.1637 -29.2557 -32.1124 -29.0993 
-33.9188 -31.3440 -36.3759 -33.6146 -31.4617 -29.0735 -34.6913 -32.0950 -37.1456 -34.3656 -32.2371 -29.8244 -32.1913 -29.665 
-33.9863 -31.8781 -36.4483 -34.1874 -31.5243 -29.5688 -34.7588 -32.6418 -37.2179 -34.9511 -32.2998 -30.3325 -32.2588 -30.1704 
-34.0402 -32.3387 -36.5061 -34.6814 -31.5743 -29.9961 -34.8128 -33.1135 -37.2757 -35.4561 -32.3499 -30.7708 -32.3128 -30.6064 
-34.0769 -33.2721 -36.5454 -35.6823 -31.6083 -30.8618 -34.8494 -34.0692 -37.3149 -36.4794 -32.3839 -31.6589 -32.3494 -31.4897 
-34.0943 -34.5954 -36.5641 -37.1015 -31.6244 -32.0893 -34.8668 -35.4242 -37.3335 -37.9303 -32.4001 -32.9181 -32.3668 -32.7421 
-34.0895 -35.8190 -36.5589 -38.4138 -31.62 -33.2243 -34.8620 -36.6772 -37.3284 -39.2719 -32.3957 -34.0824 -32.3620 -33.9002 
-34.0602 -36.9356 -36.5275 -39.6113 -31.5928 -34.26 -34.8327 -37.8205 -37.297 -40.4962 -32.3684 -35.1448 -32.3327 -34.957 
-34.0030 -37.9359 -36.4662 -40.684 -31.5398 -35.1877 -34.7755 -38.8447 -37.2358 -41.5928 -32.3153 -36.0966 -32.2755 -35.9036 
-33.9165 -38.8603 -36.3735 -41.6753 -31.4596 -36.0452 -34.6890 -39.7912 -37.1432 -42.6063 -32.2349 -36.9762 -32.1890 -36.7785 
-33.7962 -40.3001 -36.2445 -43.2195 -31.348 -37.3807 -34.5688 -41.2656 -37.0144 -44.185 -32.1232 -38.3462 -32.0688 -38.1413 
-33.6421 -43.4415 -36.0791 -46.5884 -31.205 -40.2945 -34.4146 -44.4822 -36.8493 -47.6291 -31.9799 -41.3352 -31.9146 -41.1143 
-33.4503 -46.3683 -35.8734 -49.7272 -31.0271 -43.0093 -34.2228 -47.4791 -36.644 -50.8381 -31.8017 -44.1202 -31.7228 -43.8843 
-33.2157 -49.0745 -35.6218 -52.6295 -30.8095 -45.5195 -33.9882 -50.2502 -36.3927 -53.8052 -31.5837 -46.6952 -31.4882 -46.4456 
-32.9404 -51.6125 -35.3266 -55.3514 -30.5542 -47.8737 -33.7130 -52.8490 -36.098 -56.5879 -31.3279 -49.1102 -31.2130 -48.8477 
-32.6161 -53.9532 -34.9789 -57.8617 -30.2534 -50.0448 -33.3887 -55.2458 -35.7508 -59.1542 -31.0266 -51.3374 -30.8887 -51.063 
-32.2469 -56.1503 -34.5829 -60.2179 -29.9109 -52.0827 -33.0194 -57.4955 -35.3554 -61.5631 -30.6834 -53.4279 -30.5194 -53.1424

 I-39 
a) Peening,1-1,Sn (continued) 
In Metric Unit 
Unit Conv: 1.0000 in = 25.4000 mm 1.0000 ksi = 6.8948 MPa 1.0000 ksi-in^0.5= 1.0988 MPa-m^0.5 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Depth Stress: Sn K(Sn) Stress: Sn K(Sn) Stress: Sn K(Sn) Stress: Sn K(Sn) Stress: Sn K(Sn) Stress: Sn K(Sn) 
(mm) MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 
0.0000 -285.3119 0.0000 -307.1501 0.0000 -263.4738 0.0000 -286.1556 0.0000 -307.9708 0.0000 -264.3403 0.0000 
0.2438 -277.7747 -8.3733 -299.0359 -9.0143 -256.5134 -7.7324 -278.6183 -8.4069 -299.8590 -9.0478 -257.3777 -7.7660 
0.4902 -270.7015 -11.7243 -291.4214 -12.6217 -249.9817 -10.8269 -271.5452 -11.7713 -292.2466 -12.6687 -250.8437 -10.8739 
0.7341 -264.2202 -14.1703 -284.4439 -15.2549 -243.9964 -13.0857 -265.0638 -14.2271 -285.2711 -15.3117 -244.8565 -13.1425 
0.9804 -258.1772 -16.0879 -277.9385 -17.3193 -238.4160 -14.8565 -259.0209 -16.1524 -278.7675 -17.3838 -239.2742 -14.9210 
1.2243 -252.6792 -17.6244 -272.0196 -18.9734 -233.3388 -16.2754 -253.5228 -17.6951 -272.8503 -19.0441 -234.1953 -16.3461 
1.4681 -247.6433 -18.8512 -266.5982 -20.2941 -228.6883 -17.4083 -248.4869 -18.9268 -267.4305 -20.3697 -229.5433 -17.4839 
1.7145 -243.0059 -20.1337 -261.6059 -21.6747 -224.4059 -18.5926 -243.8495 -20.2144 -262.4396 -21.7554 -225.2595 -18.6733 
1.9583 -238.8446 -21.3221 -257.1260 -22.9542 -220.5631 -19.6901 -239.6882 -21.4076 -257.9610 -23.0397 -221.4154 -19.7756 
2.2047 -235.0543 -22.3130 -253.0456 -24.0209 -217.0629 -20.6051 -235.8979 -22.4025 -253.8817 -24.1103 -217.9140 -20.6946 
2.4486 -231.6950 -23.1334 -249.4293 -24.9041 -213.9607 -21.3627 -232.5386 -23.2261 -250.2664 -24.9968 -214.8109 -21.4555 
2.6924 -228.7077 -23.7889 -246.2133 -25.6097 -211.2021 -21.9681 -229.5513 -23.8843 -247.0513 -25.7051 -212.0513 -22.0634 
2.9388 -226.0487 -24.2818 -243.3507 -26.1404 -208.7466 -22.4232 -226.8923 -24.3791 -244.1896 -26.2377 -209.5950 -22.5206 
3.1826 -223.7547 -24.7898 -240.8812 -26.6872 -206.6282 -22.8923 -224.5983 -24.8891 -241.7207 -26.7866 -207.4759 -22.9917 
3.4290 -221.7596 -25.2991 -238.7334 -27.2355 -204.7858 -23.3627 -222.6033 -25.4005 -239.5736 -27.3369 -205.6329 -23.4641 
3.6728 -220.0865 -25.7007 -236.9322 -27.6679 -203.2407 -23.7336 -220.9301 -25.8038 -237.7729 -27.7709 -204.0873 -23.8366 
3.9167 -218.6950 -25.9948 -235.4343 -27.9845 -201.9558 -24.0051 -219.5387 -26.0990 -236.2754 -28.0887 -202.8020 -24.1093 
4.1631 -217.5570 -26.1789 -234.2091 -28.1826 -200.9049 -24.1751 -218.4006 -26.2838 -235.0506 -28.2876 -201.7507 -24.2801 
4.4069 -216.6777 -26.2920 -233.2625 -28.3044 -200.0929 -24.2795 -217.5214 -26.3974 -234.1042 -28.4098 -200.9385 -24.3850 
4.6533 -216.0205 -26.4058 -232.5550 -28.4270 -199.4860 -24.3847 -216.8641 -26.5117 -233.3969 -28.5328 -200.3313 -24.4906 
4.8971 -215.5807 -26.7203 -232.0815 -28.7655 -199.0799 -24.6751 -216.4243 -26.8274 -232.9236 -28.8726 -199.9251 -24.7822 
5.1410 -215.3325 -26.9535 -231.8144 -29.0166 -198.8507 -24.8904 -216.1762 -27.0616 -232.6565 -29.1246 -199.6958 -24.9985 
5.3873 -215.2581 -27.0992 -231.7342 -29.1734 -198.7819 -25.0249 -216.1017 -27.2078 -232.5764 -29.2820 -199.6270 -25.1336 
5.6312 -215.3408 -27.1955 -231.8232 -29.2771 -198.8583 -25.1139 -216.1844 -27.3045 -232.6654 -29.3861 -199.7034 -25.2230 
5.8776 -215.5639 -27.2204 -232.0635 -29.3039 -199.0644 -25.1369 -216.4076 -27.3296 -232.9055 -29.4130 -199.9096 -25.2461 
6.1214 -215.9049 -27.2111 -232.4305 -29.2938 -199.3792 -25.1283 -216.7485 -27.3202 -233.2725 -29.4029 -200.2245 -25.2374 
6.3652 -216.3472 -27.8255 -232.9068 -29.9553 -199.7877 -25.6957 -217.1909 -27.9370 -233.7486 -30.0668 -200.6332 -25.8072 
6.6116 -216.8790 -28.3472 -233.4792 -30.5170 -200.2787 -26.1775 -217.7226 -28.4609 -234.3208 -30.6306 -201.1244 -26.2912 
6.8555 -217.4709 -28.8139 -234.1165 -31.0193 -200.8254 -26.6084 -218.3146 -28.9294 -234.9579 -31.1349 -201.6712 -26.7240 
7.1018 -218.1171 -29.2014 -234.8121 -31.4365 -201.4221 -26.9663 -218.9608 -29.3185 -235.6534 -31.5536 -202.2681 -27.0834 
7.3457 -218.7861 -29.5469 -235.5323 -31.8084 -202.0399 -27.2853 -219.6297 -29.6653 -236.3734 -31.9269 -202.8861 -27.4038 
7.5895 -219.4663 -29.8405 -236.2646 -32.1245 -202.6681 -27.5565 -220.3100 -29.9601 -237.1055 -32.2442 -203.5145 -27.6761 
7.8359 -220.1468 -30.5258 -236.9972 -32.8622 -203.2965 -28.1893 -220.9904 -30.6481 -237.8378 -32.9846 -204.1431 -28.3117 
8.0797 -220.7954 -31.2980 -237.6954 -33.6936 -203.8954 -28.9024 -221.6390 -31.4235 -238.5358 -33.8191 -204.7422 -29.0279 
8.3261 -221.4072 -31.9756 -238.3540 -34.4231 -204.4604 -29.5282 -222.2508 -32.1038 -239.1943 -34.5513 -205.3074 -29.6563 
8.5700 -221.9515 -32.5971 -238.9400 -35.0922 -204.9630 -30.1021 -222.7951 -32.7278 -239.7801 -35.2228 -205.8102 -30.2328 
8.8138 -222.4169 -33.1526 -239.4410 -35.6901 -205.3928 -30.6150 -223.2606 -33.2855 -240.2810 -35.8230 -206.2401 -30.7479 
9.0602 -222.7888 -33.6316 -239.8413 -36.2058 -205.7362 -31.0574 -223.6324 -33.7664 -240.6812 -36.3406 -206.5836 -31.1922 
9.3040 -223.0412 -34.6022 -240.1131 -37.2507 -205.9694 -31.9537 -223.8849 -34.7410 -240.9529 -37.3895 -206.8169 -32.0925 
9.5504 -223.1613 -35.9785 -240.2423 -38.7323 -206.0802 -33.2246 -224.0049 -36.1227 -241.0821 -38.8766 -206.9277 -33.3689 
9.7942 -223.1282 -37.2510 -240.2068 -40.1023 -206.0497 -34.3998 -223.9719 -37.4004 -241.0465 -40.2516 -206.8972 -34.5491 
10.0381 -222.9261 -38.4123 -239.9892 -41.3524 -205.8631 -35.4721 -223.7698 -38.5663 -240.8290 -41.5064 -206.7105 -35.6261 
10.2845 -222.5319 -39.4525 -239.5648 -42.4722 -205.4990 -36.4327 -223.3756 -39.6106 -240.4048 -42.6304 -206.3464 -36.5909 
10.5283 -221.9356 -40.4138 -238.9229 -43.5072 -204.9484 -37.3205 -222.7793 -40.5759 -239.7630 -43.6692 -205.7955 -37.4825 
10.7747 -221.1065 -41.9113 -238.0303 -45.1192 -204.1827 -38.7033 -221.9501 -42.0793 -238.8706 -45.2872 -205.0296 -38.8713 
11.0185 -220.0434 -45.1782 -236.8858 -48.6362 -203.2010 -41.7202 -220.8870 -45.3593 -237.7265 -48.8173 -204.0475 -41.9013 
11.2624 -218.7211 -48.2220 -235.4623 -51.9130 -201.9799 -44.5310 -219.5647 -48.4153 -236.3034 -52.1063 -202.8261 -44.7243 
11.5087 -217.1035 -51.0364 -233.7209 -54.9428 -200.4861 -47.1300 -217.9471 -51.2410 -234.5625 -55.1474 -201.3318 -47.3346 
11.7526 -215.2057 -53.6759 -231.6779 -57.7843 -198.7336 -49.5675 -216.0494 -53.8911 -232.5200 -57.9995 -199.5787 -49.7827 
11.9990 -212.9700 -56.1102 -229.2710 -60.4050 -196.6689 -51.8155 -213.8136 -56.3352 -230.1138 -60.6299 -197.5134 -52.0404 
12.2428 -210.4242 -58.3951 -226.5303 -62.8647 -194.3180 -53.9255 -211.2678 -58.6292 -227.3739 -63.0989 -195.1616 -54.1596

 I-40 
a) Peening,1-1,Sn (continued) 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Stress: Sn K(Sn) Stress: Sn K(Sn) Stress: Sn K(Sn) Stress: Sn K(Sn) Stress: Sn K(Sn) Stress: Sn K(Sn) 
MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 
-288.6039 0.0000 -310.3538 0.0000 -266.8540 0.0000 -292.4172 0.0000 -314.0682 0.0000 -270.7663 0.0000 
-281.0666 -8.5043 -302.2485 -9.1453 -259.8848 -7.8634 -284.8800 -8.6561 -305.9729 -9.2970 -263.7871 -8.0152 
-273.9935 -11.9077 -294.6423 -12.8051 -253.3447 -11.0104 -277.8068 -12.1202 -298.3760 -13.0176 -257.2377 -11.2228 
-267.5121 -14.3919 -287.6725 -15.4766 -247.3518 -13.3073 -271.3255 -14.6487 -291.4148 -15.7334 -251.2362 -13.5641 
-261.4692 -16.3396 -281.1741 -17.5710 -241.7643 -15.1082 -265.2825 -16.6312 -284.9244 -17.8626 -245.6407 -15.3998 
-255.9712 -17.9001 -275.2618 -19.2491 -236.6806 -16.5511 -259.7845 -18.2195 -279.0193 -19.5685 -240.5497 -16.8705 
-250.9352 -19.1461 -269.8463 -20.5890 -232.0241 -17.7032 -254.7486 -19.4877 -273.6105 -20.9306 -235.8867 -18.0448 
-246.2978 -20.4486 -264.8594 -21.9897 -227.7362 -18.9076 -250.1112 -20.8135 -268.6297 -22.3546 -231.5926 -19.2724 
-242.1365 -21.6557 -260.3845 -23.2877 -223.8885 -20.0237 -245.9499 -22.0421 -264.1603 -23.6741 -227.7394 -20.4101 
-238.3462 -22.6621 -256.3085 -24.3700 -220.3839 -20.9542 -242.1596 -23.0664 -260.0894 -24.7743 -224.2298 -21.3586 
-234.9870 -23.4953 -252.6961 -25.2660 -217.2778 -21.7246 -238.8003 -23.9145 -256.4814 -25.6852 -221.1192 -22.1439 
-231.9996 -24.1610 -249.4837 -25.9819 -214.5156 -22.3402 -235.8130 -24.5922 -253.2729 -26.4130 -218.3531 -22.7713 
-229.3406 -24.6617 -246.6243 -26.5202 -212.0570 -22.8031 -233.1540 -25.1017 -250.4170 -26.9603 -215.8910 -23.2431 
-227.0467 -25.1776 -244.1574 -27.0750 -209.9359 -23.2801 -230.8600 -25.6268 -247.9532 -27.5243 -213.7668 -23.7294 
-225.0516 -25.6949 -242.0120 -27.6313 -208.0912 -23.7584 -228.8649 -26.1533 -245.8104 -28.0898 -211.9195 -24.2169 
-223.3784 -26.1028 -240.2127 -28.0700 -206.5441 -24.1356 -227.1918 -26.5686 -244.0133 -28.5357 -210.3702 -24.6014 
-221.9870 -26.4015 -238.7165 -28.3912 -205.2575 -24.4118 -225.8003 -26.8726 -242.5189 -28.8622 -209.0818 -24.8829 
-220.8490 -26.5884 -237.4927 -28.5922 -204.2053 -24.5847 -224.6623 -27.0628 -241.2966 -29.0666 -208.0280 -25.0591 
-219.9697 -26.7033 -236.5471 -28.7157 -203.3922 -24.6909 -223.7830 -27.1798 -240.3522 -29.1922 -207.2138 -25.1673 
-219.3124 -26.8189 -235.8403 -28.8401 -202.7845 -24.7978 -223.1258 -27.2975 -239.6463 -29.3186 -206.6053 -25.2763 
-218.8727 -27.1383 -235.3674 -29.1835 -202.3779 -25.0931 -222.6860 -27.6226 -239.1740 -29.6678 -206.1981 -25.5773 
-218.6245 -27.3752 -235.1005 -29.4382 -202.1484 -25.3121 -222.4378 -27.8636 -238.9074 -29.9267 -205.9683 -25.8006 
-218.5500 -27.5231 -235.0205 -29.5973 -202.0796 -25.4489 -222.3634 -28.0142 -238.8274 -30.0884 -205.8993 -25.9400 
-218.6327 -27.6210 -235.1094 -29.7025 -202.1560 -25.5394 -222.4461 -28.1138 -238.9162 -30.1954 -205.9759 -26.0322 
-218.8559 -27.6463 -235.3494 -29.7298 -202.3624 -25.5628 -222.6692 -28.1396 -239.1559 -30.2231 -206.1825 -26.0561 
-219.1968 -27.6368 -235.7160 -29.7195 -202.6776 -25.5540 -223.0102 -28.1299 -239.5221 -30.2127 -206.4982 -26.0471 
-219.6392 -28.2608 -236.1917 -30.3906 -203.0867 -26.1310 -223.4526 -28.7651 -239.9973 -30.8949 -206.9078 -26.6353 
-220.1709 -28.7907 -236.7635 -30.9605 -203.5783 -26.6210 -223.9843 -29.3044 -240.5683 -31.4742 -207.4002 -27.1347 
-220.7629 -29.2647 -237.4001 -31.4701 -204.1257 -27.0592 -224.5762 -29.7868 -241.2041 -31.9923 -207.9483 -27.5814 
-221.4091 -29.6583 -238.0950 -31.8934 -204.7232 -27.4231 -225.2224 -30.1875 -241.8982 -32.4226 -208.5467 -27.9523 
-222.0780 -30.0091 -238.8144 -32.2707 -205.3417 -27.7476 -225.8914 -30.5446 -242.6167 -32.8061 -209.1661 -28.2830 
-222.7583 -30.3073 -239.5459 -32.5914 -205.9707 -28.0233 -226.5716 -30.8481 -243.3473 -33.1322 -209.7960 -28.5641 
-223.4388 -31.0033 -240.2776 -33.3398 -206.5999 -28.6668 -227.2521 -31.5565 -244.0781 -33.8930 -210.4261 -29.2200 
-224.0873 -31.7877 -240.9751 -34.1832 -207.1996 -29.3921 -227.9007 -32.3548 -244.7747 -34.7504 -211.0266 -29.9593 
-224.6991 -32.4758 -241.6330 -34.9233 -207.7653 -30.0284 -228.5125 -33.0553 -245.4318 -35.5028 -211.5931 -30.6079 
-225.2435 -33.1071 -242.2183 -35.6021 -208.2686 -30.6121 -229.0568 -33.6978 -246.0164 -36.1929 -212.0971 -31.2028 
-225.7089 -33.6712 -242.7188 -36.2087 -208.6989 -31.1337 -229.5222 -34.2720 -246.5163 -36.8095 -212.5281 -31.7345 
-226.0807 -34.1577 -243.1187 -36.7319 -209.0427 -31.5835 -229.8941 -34.7672 -246.9157 -37.3414 -212.8724 -32.1930 
-226.3332 -35.1436 -243.3902 -37.7921 -209.2762 -32.4951 -230.1465 -35.7706 -247.1869 -38.4191 -213.1062 -33.1221 
-226.4532 -36.5413 -243.5193 -39.2952 -209.3872 -33.7875 -230.2666 -37.1933 -247.3158 -39.9472 -213.2173 -34.4395 
-226.4202 -37.8338 -243.4837 -40.6850 -209.3566 -34.9826 -230.2335 -38.5089 -247.2803 -41.3601 -213.1867 -35.6576 
-226.2181 -39.0132 -243.2664 -41.9533 -209.1698 -36.0731 -230.0314 -39.7093 -247.0633 -42.6494 -212.9996 -36.7692 
-225.8239 -40.0697 -242.8425 -43.0894 -208.8053 -37.0499 -229.6372 -40.7846 -246.6399 -43.8044 -212.6346 -37.7649 
-225.2276 -41.0461 -242.2013 -44.1394 -208.2539 -37.9527 -229.0409 -41.7785 -245.9994 -44.8718 -212.0825 -38.6851 
-224.3984 -42.5669 -241.3096 -45.7749 -207.4872 -39.3590 -228.2118 -43.3265 -245.1089 -46.5344 -211.3147 -40.1185 
-223.3354 -45.8849 -240.1664 -49.3429 -206.5043 -42.4270 -227.1487 -46.7037 -243.9671 -50.1617 -210.3303 -43.2457 
-222.0131 -48.9764 -238.7445 -52.6674 -205.2816 -45.2854 -225.8264 -49.8503 -242.5469 -53.5413 -209.1059 -46.1593 
-220.3954 -51.8348 -237.0049 -55.7412 -203.7859 -47.9284 -224.2088 -52.7597 -240.8095 -56.6661 -207.6081 -48.8533 
-218.4977 -54.5156 -234.9642 -58.6241 -202.0312 -50.4072 -222.3110 -55.4884 -238.7712 -59.5968 -205.8508 -51.3799 
-216.2619 -56.9880 -232.5599 -61.2828 -199.9639 -52.6933 -220.0753 -58.0049 -236.3699 -62.2996 -203.7806 -53.7101 
-213.7161 -59.3087 -229.8223 -63.7783 -197.6100 -54.8390 -217.5295 -60.3669 -233.6356 -64.8366 -201.4233 -55.8973

 I-41 
a) Peening,1-1,Sn (continued) 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Stress: Sn K(Sn) Stress: Sn K(Sn) Stress: Sn K(Sn) Stress: Sn K(Sn) Stress: Sn K(Sn) Stress: Sn K(Sn) 
MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 
-297.2223 0.0000 -318.7534 0.0000 -275.6912 0.0000 -302.5488 0.0000 -323.9530 0.0000 -281.1447 0.0000 
-289.6851 -8.8473 -310.6702 -9.4882 -268.7000 -8.2064 -295.0116 -9.0593 -315.8825 -9.7002 -274.1406 -8.4183 
-282.6119 -12.3879 -303.0846 -13.2853 -262.1392 -11.4905 -287.9384 -12.6847 -308.3090 -13.5821 -267.5679 -11.7873 
-276.1306 -14.9723 -296.1338 -16.0569 -256.1274 -13.8877 -281.4571 -15.3310 -301.3691 -16.4156 -261.5450 -14.2464 
-270.0876 -16.9985 -289.6531 -18.2299 -250.5222 -15.7672 -275.4141 -17.4058 -294.8986 -18.6372 -255.9296 -16.1744 
-264.5896 -18.6220 -283.7568 -19.9710 -245.4225 -17.2730 -269.9161 -19.0681 -289.0116 -20.4171 -250.8206 -17.7191 
-259.5537 -19.9182 -278.3560 -21.3611 -240.7513 -18.4753 -264.8801 -20.3954 -283.6194 -21.8383 -246.1409 -18.9525 
-254.9163 -21.2733 -273.3827 -22.8143 -236.4499 -19.7322 -260.2428 -21.7829 -278.6540 -23.3240 -241.8316 -20.2419 
-250.7550 -22.5290 -268.9199 -24.1610 -232.5900 -20.8970 -256.0815 -23.0688 -274.1982 -24.7008 -237.9647 -21.4367 
-246.9647 -23.5760 -264.8550 -25.2838 -229.0743 -21.8681 -252.2911 -24.1408 -270.1398 -25.8486 -234.4425 -22.4329 
-243.6054 -24.4428 -261.2524 -26.2135 -225.9584 -22.6721 -248.9319 -25.0284 -266.5429 -26.7990 -231.3209 -23.2577 
-240.6181 -25.1354 -258.0487 -26.9562 -223.1874 -23.3145 -245.9446 -25.7376 -263.3442 -27.5584 -228.5449 -23.9167 
-237.9591 -25.6562 -255.1971 -27.5147 -220.7211 -23.7976 -243.2856 -26.2708 -260.4971 -28.1294 -226.0740 -24.4123 
-235.6651 -26.1929 -252.7369 -28.0903 -218.5933 -24.2955 -240.9916 -26.8204 -258.0408 -28.7179 -223.9424 -24.9230 
-233.6700 -26.7311 -250.5973 -28.6675 -216.7427 -24.7946 -238.9965 -27.3715 -255.9046 -29.3079 -222.0884 -25.4350 
-231.9969 -27.1554 -248.8030 -29.1226 -215.1908 -25.1883 -237.3233 -27.8060 -254.1131 -29.7732 -220.5336 -25.8388 
-230.6054 -27.4662 -247.3107 -29.4558 -213.9001 -25.4765 -235.9319 -28.1242 -252.6232 -30.1138 -219.2407 -26.1345 
-229.4674 -27.6606 -246.0903 -29.6644 -212.8446 -25.6569 -234.7939 -28.3233 -251.4047 -30.3271 -218.1831 -26.3195 
-228.5881 -27.7801 -245.1473 -29.7926 -212.0290 -25.7677 -233.9146 -28.4457 -250.4632 -30.4581 -217.3660 -26.4333 
-227.9309 -27.9005 -244.4424 -29.9216 -211.4193 -25.8793 -233.2574 -28.5689 -249.7594 -30.5900 -216.7553 -26.5477 
-227.4911 -28.2327 -243.9708 -30.2779 -211.0114 -26.1875 -232.8176 -28.9091 -249.2886 -30.9543 -216.3466 -26.8639 
-227.2429 -28.4791 -243.7046 -30.5422 -210.7812 -26.4161 -232.5694 -29.1614 -249.0228 -31.2245 -216.1160 -27.0983 
-227.1685 -28.6330 -243.6248 -30.7072 -210.7121 -26.5588 -232.4950 -29.3190 -248.9431 -31.3932 -216.0468 -27.2448 
-227.2512 -28.7348 -243.7135 -30.8164 -210.7888 -26.6532 -232.5776 -29.4232 -249.0316 -31.5048 -216.1237 -27.3416 
-227.4743 -28.7612 -243.9528 -30.8446 -210.9958 -26.6777 -232.8008 -29.4502 -249.2706 -31.5337 -216.3310 -27.3667 
-227.8153 -28.7513 -244.3184 -30.8340 -211.3121 -26.6685 -233.1418 -29.4401 -249.6357 -31.5228 -216.6479 -27.3573 
-228.2576 -29.4005 -244.7929 -31.5303 -211.7224 -27.2707 -233.5841 -30.1048 -250.1093 -32.2346 -217.0590 -27.9750 
-228.7894 -29.9517 -245.3631 -32.1215 -212.2156 -27.7820 -234.1159 -30.6693 -250.6787 -32.8390 -217.5530 -28.4996 
-229.3813 -30.4448 -245.9980 -32.6503 -212.7647 -28.2394 -234.7078 -31.1742 -251.3125 -33.3796 -218.1031 -28.9687 
-230.0275 -30.8543 -246.6910 -33.0894 -213.3641 -28.6192 -235.3540 -31.5935 -252.0044 -33.8286 -218.7036 -29.3583 
-230.6965 -31.2193 -247.4084 -33.4808 -213.9846 -28.9577 -236.0230 -31.9672 -252.7207 -34.2288 -219.3253 -29.7057 
-231.3767 -31.5295 -248.1379 -33.8136 -214.6156 -29.2455 -236.7032 -32.2849 -253.4491 -34.5689 -219.9574 -30.0009 
-232.0572 -32.2536 -248.8677 -34.5900 -215.2467 -29.9171 -237.3837 -33.0263 -254.1777 -35.3627 -220.5897 -30.6898 
-232.7058 -33.0695 -249.5632 -35.4651 -215.8483 -30.6740 -238.0323 -33.8618 -254.8722 -36.2574 -221.1924 -31.4662 
-233.3176 -33.7855 -250.2194 -36.2329 -216.4158 -31.3380 -238.6441 -34.5949 -255.5272 -37.0423 -221.7609 -32.1474 
-233.8619 -34.4422 -250.8031 -36.9372 -216.9207 -31.9472 -239.1884 -35.2673 -256.1101 -37.7624 -222.2667 -32.7723 
-234.3273 -35.0290 -251.3022 -37.5666 -217.3524 -32.4915 -239.6538 -35.8682 -256.6084 -38.4058 -222.6992 -33.3307 
-234.6992 -35.5352 -251.7010 -38.1094 -217.6973 -32.9610 -240.0257 -36.3865 -257.0066 -38.9607 -223.0448 -33.8123 
-234.9516 -36.5608 -251.9718 -39.2093 -217.9315 -33.9123 -240.2781 -37.4367 -257.2769 -40.0852 -223.2794 -34.7882 
-235.0717 -38.0149 -252.1005 -40.7688 -218.0428 -35.2611 -240.3982 -38.9256 -257.4054 -41.6795 -223.3909 -36.1718 
-235.0386 -39.3595 -252.0651 -42.2107 -218.0122 -36.5083 -240.3651 -40.3024 -257.3700 -43.1537 -223.3602 -37.4512 
-234.8365 -40.5865 -251.8483 -43.5266 -217.8247 -37.6463 -240.1630 -41.5588 -257.1536 -44.4989 -223.1724 -38.6187 
-234.4423 -41.6856 -251.4256 -44.7053 -217.4591 -38.6658 -239.7688 -42.6842 -256.7316 -45.7040 -222.8061 -39.6645 
-233.8460 -42.7013 -250.7861 -45.7947 -216.9060 -39.6080 -239.1725 -43.7243 -256.0931 -46.8177 -222.2520 -40.6310 
-233.0169 -44.2835 -249.8969 -47.4915 -216.1369 -41.0756 -238.3434 -45.3444 -255.2053 -48.5524 -221.4815 -42.1365 
-231.9538 -47.7353 -248.7568 -51.1933 -215.1508 -44.2773 -237.2803 -48.8789 -254.0670 -52.3369 -220.4936 -45.4209 
-230.6315 -50.9514 -247.3387 -54.6424 -213.9243 -47.2605 -235.9580 -52.1721 -252.6511 -55.8631 -219.2649 -48.4811 
-229.0139 -53.9251 -245.6039 -57.8315 -212.4239 -50.0187 -234.3404 -55.2170 -250.9191 -59.1234 -217.7617 -51.3106 
-227.1161 -56.7141 -243.5687 -60.8225 -210.6636 -52.6056 -232.4426 -58.0728 -248.8870 -62.1812 -215.9982 -53.9643 
-224.8804 -59.2861 -241.1709 -63.5809 -208.5898 -54.9914 -230.2068 -60.7065 -246.4931 -65.0012 -213.9206 -56.4117 
-222.3346 -61.7004 -238.4407 -66.1700 -206.2284 -57.2307 -227.6610 -63.1785 -243.7672 -67.6482 -211.5549 -58.7089

 I-42 
b) Peening,1-1,SnPlt 
Peening, Middle Lid, Crack Originated From Outside Surface, 
Section 1-1, Sn, at 0 Deg 
-350 
-300 
-250 
-200 
-150 
-100 
-50
0
0 2 4 6 8 10 12 14 
Distance From Outside Surface (mm) 
Sn Stress (MPa) 
Mean 
Min, Inside Surface 
Max. Inside Surface

 I-43 
c) Peening,1-1,KSnPlt 
Peening, Middle Lid, Crack Originated From Outside Surface, 
Section 1-1, Sn, at 0 Deg 
-70 
-60 
-50 
-40 
-30 
-20 
-10
0
0 2 4 6 8 10 12 14 
Distance From Outside Surface (mm) 
K (MPa-m^.0.5) 
Mean 
Min,Inside Surface 
Max, Inside Surface

 I-44 
d) Peening,2-2,Sz 
Results in Metric Unit start in Cell A80 
Angle(deg): 0 18 
0 0 0.3141593 
Scale Facto 1 1.1408727 0.8591273 0.9926752 1.1398408 0.8601592 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Depth Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) 
(in) (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 
0 -63.4860 0.0000 -72.4294 0 -54.5426 0 -63.6084 0.0000 -72.5034 0 -54.7133 0 
0.0129 -55.3171 -6.5540 -63.1098 -7.47727 -47.5244 -5.63071 -55.4395 -6.5060 -63.1922 -7.41579 -47.6868 -5.59618 
0.0259 -47.5652 -9.1471 -54.2658 -10.4356 -40.8645 -7.85848 -47.6875 -9.0800 -54.3562 -10.3498 -41.0189 -7.81029 
0.0388 -40.3382 -11.0540 -46.0207 -12.6112 -34.6556 -9.49679 -40.4605 -10.9730 -46.1185 -12.5075 -34.8025 -9.43855 
0.0517 -33.5634 -12.5925 -38.2915 -14.3664 -28.8352 -10.8186 -33.6857 -12.5003 -38.3963 -14.2483 -28.9751 -10.7522 
0.0646 -27.2295 -13.8878 -31.0654 -15.8442 -23.3936 -11.9314 -27.3519 -13.7861 -31.1768 -15.7139 -23.527 -11.8582 
0.0776 -21.2813 -15.0050 -24.2793 -17.1188 -18.2834 -12.8912 -21.4037 -14.8951 -24.3968 -16.978 -18.4106 -12.8121 
0.0905 -15.7989 -16.0248 -18.0246 -18.2823 -13.5733 -13.7673 -15.9213 -15.9074 -18.1477 -18.1319 -13.6949 -13.6829 
0.1034 -10.7237 -16.9489 -12.2344 -19.3365 -9.21305 -14.5613 -10.8461 -16.8248 -12.3628 -19.1775 -9.32937 -14.472 
0.1163 -6.0445 -17.6055 -6.89597 -20.0856 -5.19297 -15.1254 -6.1668 -17.4765 -7.0292 -19.9205 -5.30445 -15.0326 
0.1293 -1.7181 -16.6298 -1.96012 -18.9725 -1.47605 -14.2871 -1.8404 -16.5080 -2.09781 -18.8165 -1.58307 -14.1995 
0.1422 2.2002 -15.5243 2.510108 -17.7112 1.890222 -13.3374 2.0778 -15.4106 2.368368 -17.5656 1.787244 -13.2556 
0.1551 5.7563 -14.3200 6.567178 -16.3373 4.945374 -12.3027 5.6339 -14.2151 6.421769 -16.203 4.846066 -12.2273 
0.1681 8.9850 -13.1110 10.25073 -14.958 7.719252 -11.264 8.8626 -13.0150 10.10199 -14.835 7.623276 -11.1949 
0.181 11.8480 -11.9171 13.517 -13.5959 10.1789 -10.2383 11.7256 -11.8298 13.36531 -13.4841 10.08588 -10.1755 
0.1939 14.3826 -10.6877 16.40868 -12.1933 12.35646 -9.1821 14.2602 -10.6094 16.25437 -12.093 12.26605 -9.12579 
0.2068 16.6001 -9.4384 18.93859 -10.768 14.26159 -8.10877 16.4777 -9.3692 18.78199 -10.6794 14.17347 -8.05904 
0.2198 18.5254 -8.1832 21.13513 -9.336 15.91568 -7.03042 18.4030 -8.1233 20.97654 -9.25923 15.82955 -6.98731 
0.2327 20.1402 -6.9345 22.9774 -7.91142 17.303 -5.95764 20.0178 -6.8837 22.81715 -7.84636 17.21853 -5.92111 
0.2456 21.4717 -5.7183 24.49647 -6.52383 18.44692 -4.91273 21.3493 -5.6764 24.33485 -6.47019 18.36383 -4.8826 
0.2585 22.5311 -4.5699 25.70515 -5.21362 19.35711 -3.92608 22.4088 -4.5364 25.54243 -5.17075 19.27511 -3.90201 
0.2715 23.3349 -3.4507 26.6222 -3.9368 20.04769 -2.96458 23.2126 -3.4254 26.45865 -3.90443 19.96652 -2.9464 
0.2844 23.8821 -2.3685 27.24641 -2.70219 20.51775 -2.03487 23.7597 -2.3512 27.0823 -2.67997 20.43714 -2.02239 
0.2973 24.1910 -1.3304 27.5988 -1.51777 20.78311 -1.14295 24.0686 -1.3206 27.43437 -1.50529 20.70283 -1.13594 
0.3102 24.2728 -0.3424 27.69219 -0.39065 20.85344 -0.29418 24.1505 -0.3399 27.52767 -0.38744 20.77323 -0.29238 
0.3232 24.1370 0.5896 27.53728 0.67269 20.73678 0.506566 24.0147 0.5853 27.3729 0.667159 20.65644 0.503459 
0.3361 23.7970 1.4586 27.14936 1.664043 20.44466 1.253097 23.6747 1.4479 26.98533 1.65036 20.36397 1.245413 
0.349 23.2638 2.2659 26.541 2.585126 19.98654 1.946714 23.1414 2.2493 26.37752 2.56387 19.9053 1.934776 
0.362 22.5423 3.0074 25.71792 3.431106 19.36672 2.583774 22.4200 2.9854 25.55519 3.402893 19.28474 2.567929 
0.3749 21.6551 3.6794 24.70568 4.19767 18.60446 3.16103 21.5327 3.6524 24.54386 4.163154 18.52156 3.141645 
0.3878 20.6084 4.2784 23.51156 4.881075 17.70524 3.675665 20.4860 4.2470 23.35083 4.84094 17.62126 3.653123 
0.4007 19.4135 4.8016 22.14839 5.478037 16.67871 4.125203 19.2912 4.7664 21.98888 5.432993 16.59349 4.099905 
0.4137 18.0709 5.2867 20.61662 6.031452 15.52522 4.541948 17.9486 5.2480 20.4585 5.981857 15.43862 4.514095 
0.4266 16.6125 5.7037 18.95273 6.507184 14.27224 4.900196 16.4901 5.6619 18.79612 6.453678 14.18414 4.870145 
0.4395 15.0397 6.0373 17.15835 6.887733 12.92099 5.186767 14.9173 5.9930 17.00336 6.831098 12.83126 5.154958 
0.4524 13.3637 6.2859 15.24629 7.171434 11.48113 5.400406 13.2414 6.2399 15.09303 7.112466 11.38967 5.367288 
0.4654 11.5818 6.4487 13.21337 7.35718 9.95025 5.54028 11.4595 6.4015 13.06195 7.296684 9.856953 5.506304 
0.4783 9.7327 6.5251 11.10377 7.444263 8.361625 5.605857 9.6103 6.4773 10.95425 7.383051 8.26642 5.571479 
0.4912 7.8142 6.5267 8.91505 7.446111 6.713425 5.607249 7.6919 6.4789 8.767517 7.384884 6.61624 5.572863 
0.5042 5.8222 6.4451 6.642337 7.353038 5.001972 5.537162 5.6998 6.3979 6.49686 7.292577 4.902732 5.503205 
0.5171 3.7984 6.2659 4.333496 7.148548 3.263313 5.383172 3.6760 6.2200 4.190107 7.089769 3.161985 5.350159 
0.53 1.7391 5.9897 1.984106 6.833439 1.494119 5.145881 1.6168 5.9458 1.842842 6.777251 1.390666 5.114323 
0.5429 -0.3445 5.6177 -0.39301 6.409126 -0.29596 4.826354 -0.4668 5.5766 -0.53213 6.356426 -0.40156 4.796756 
0.5559 -2.4574 5.1518 -2.8036 5.877582 -2.11124 4.426078 -2.5798 5.1141 -2.94054 5.829253 -2.21902 4.398935 
0.5688 -4.5559 4.7451 -5.19768 5.413521 -3.91408 4.076619 -4.6782 4.7103 -5.33245 5.369007 -4.02403 4.051619 
0.5817 -6.6448 4.7191 -7.58092 5.383858 -5.70877 4.054282 -6.7672 4.6845 -7.71354 5.339588 -5.82087 4.029419 
0.5946 -8.7131 4.6345 -9.94051 5.287409 -7.48564 3.981651 -8.8354 4.6006 -10.071 5.243932 -7.59988 3.957234 
0.6076 -10.7650 4.4962 -12.2815 5.129614 -9.24847 3.862826 -10.8873 4.4633 -12.4098 5.087436 -9.36483 3.839137 
0.6205 -12.7576 4.3093 -14.5548 4.916374 -10.9604 3.702246 -12.8800 4.2777 -14.6811 4.875948 -11.0788 3.679542 
0.6334 -14.6958 4.0795 -16.766 4.654201 -12.6255 3.504819 -14.8181 4.0496 -16.8903 4.615932 -12.7459 3.483325 
0.6464 -16.5824 3.8131 -18.9184 4.350216 -14.2464 3.275904 -16.7047 3.7851 -19.0407 4.314446 -14.3687 3.255814

 I-45 
d) Peening,2-2,Sz (continued) 
36 54 
0.6283185 0.9424778 
0.9720127 1.13693 0.86307 0.9414896 1.1326301 0.8673699 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) 
(ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 
-63.9635 0.0000 -72.722 0 -55.2049 0 -64.5165 0.0000 -73.0734 0 -55.9597 0 
-55.7946 -6.3706 -63.4345 -7.24288 -48.1546 -5.49824 -56.3476 -6.1705 -63.821 -6.98891 -48.8742 -5.35212 
-48.0426 -8.8910 -54.6211 -10.1085 -41.4642 -7.6736 -48.5957 -8.6119 -55.041 -9.75404 -42.1505 -7.46966 
-40.8156 -10.7446 -46.4045 -12.2159 -35.2267 -9.27337 -41.3687 -10.4072 -46.8554 -11.7875 -35.882 -9.02691 
-34.0408 -12.2401 -38.702 -13.9161 -29.3796 -10.564 -34.5939 -11.8557 -39.1821 -13.4281 -30.0057 -10.2833 
-27.7070 -13.4991 -31.5009 -15.3476 -23.9131 -11.6507 -28.2601 -13.0752 -32.0082 -14.8094 -24.5119 -11.3411 
-21.7588 -14.5851 -24.7382 -16.5822 -18.7794 -12.5879 -22.3119 -14.1271 -25.2711 -16.0007 -19.3526 -12.2534 
-16.2764 -15.5763 -18.5051 -17.7092 -14.0477 -13.4434 -16.8295 -15.0872 -19.0616 -17.0882 -14.5974 -13.0862 
-11.2012 -16.4745 -12.735 -18.7304 -9.66741 -14.2187 -11.7543 -15.9572 -13.3132 -18.0736 -10.1953 -13.8408 
-6.5219 -17.1128 -7.41497 -19.456 -5.62888 -14.7695 -7.0750 -16.5754 -8.01336 -18.7738 -6.13665 -14.377 
-2.1955 -16.1644 -2.49618 -18.3778 -1.89491 -13.951 -2.7486 -15.6568 -3.11317 -17.7333 -2.38407 -13.5802 
1.7227 -15.0898 1.958598 -17.1561 1.486817 -13.0236 1.1696 -14.6160 1.324756 -16.5545 1.0145 -12.6774 
5.2788 -13.9192 6.001647 -15.8252 4.55599 -12.0133 4.7257 -13.4821 5.352515 -15.2703 4.098964 -11.694 
8.5075 -12.7441 9.672471 -14.4891 7.342598 -10.999 7.9545 -12.3439 9.009456 -13.981 6.899455 -10.7067 
11.3705 -11.5836 12.92746 -13.1697 9.813531 -9.99743 10.8174 -11.2198 12.25213 -12.7079 9.382699 -9.73174 
13.9051 -10.3886 15.80914 -11.8111 12.00109 -8.96607 13.3520 -10.0624 15.12292 -11.3969 11.58115 -8.72779 
16.1226 -9.1742 18.33031 -10.4305 13.91496 -7.918 15.5696 -8.8861 17.63455 -10.0647 13.50456 -7.70757 
18.0479 -7.9542 20.51925 -9.04335 15.57664 -6.86502 17.4949 -7.7044 19.81522 -8.72624 15.17452 -6.68257 
19.6627 -6.7405 22.35516 -7.66342 16.97032 -5.81748 19.1097 -6.5288 21.64418 -7.3947 16.57515 -5.66287 
20.9942 -5.5582 23.86898 -6.31933 18.1195 -4.79715 20.4412 -5.3837 23.15227 -6.09774 17.73005 -4.66966 
22.0537 -4.4420 25.07348 -5.05019 19.03386 -3.83372 21.5006 -4.3025 24.35222 -4.8731 18.64897 -3.73183 
22.8575 -3.3541 25.98736 -3.81339 19.72761 -2.89484 22.3044 -3.2488 25.26265 -3.67968 19.34617 -2.8179 
23.4046 -2.3022 26.60942 -2.61749 20.19983 -1.987 22.8515 -2.2299 25.88235 -2.5257 19.82074 -1.93419 
23.7135 -1.2931 26.96059 -1.47019 20.46641 -1.11606 23.1604 -1.2525 26.23219 -1.41864 20.08865 -1.0864 
23.7954 -0.3328 27.05365 -0.37841 20.53705 -0.28726 23.2423 -0.3224 26.3249 -0.36514 20.15965 -0.27962 
23.6596 0.5731 26.89928 0.651604 20.41987 0.494648 23.1065 0.5551 26.17111 0.628755 20.04187 0.481502 
23.3196 1.4177 26.5127 1.611881 20.1264 1.223616 22.7665 1.3732 25.78599 1.55536 19.74695 1.191097 
22.7863 2.2025 25.90644 2.504092 19.66618 1.900914 22.2332 2.1333 25.18203 2.416285 19.28443 1.850395 
22.0649 2.9233 25.0862 3.323553 19.04352 2.522987 21.5118 2.8315 24.36489 3.207012 18.65867 2.455935 
21.1776 3.5764 24.07746 4.066088 18.27776 3.086662 20.6245 3.4641 23.35997 3.92351 17.8891 3.00463 
20.1309 4.1586 22.88747 4.728071 17.37441 3.589189 19.5779 4.0280 22.17448 4.562281 16.98125 3.493801 
18.9361 4.6672 21.52901 5.30632 16.34317 4.028151 18.3830 4.5207 20.82115 5.120253 15.94487 3.921098 
17.5935 5.1387 20.00254 5.842387 15.18439 4.435092 17.0404 4.9774 19.30045 5.637523 14.78032 4.317223 
16.1350 5.5441 18.3444 6.303207 13.92566 4.784911 15.5819 5.3700 17.64859 6.082184 13.51531 4.657746 
14.5622 5.8683 16.55622 6.671828 12.56821 5.06474 14.0091 5.6840 15.86717 6.437879 12.1511 4.930137 
12.8863 6.1100 14.65077 6.946636 11.12174 5.273353 12.3332 5.9181 13.96892 6.703051 10.69742 5.133206 
11.1044 6.2682 12.62487 7.126559 9.583834 5.409936 10.5513 6.0714 11.95069 6.876665 9.151857 5.26616 
9.2552 6.3424 10.52256 7.210912 7.987918 5.473971 8.7022 6.1433 9.856327 6.95806 7.54799 5.328493 
7.3368 6.3440 8.341405 7.212702 6.332154 5.47533 6.7837 6.1448 7.683424 6.959787 5.883977 5.329816 
5.3447 6.2647 6.076546 7.122547 4.612847 5.406891 4.7916 6.0680 5.42713 6.872794 4.156104 5.263196 
3.3209 6.0905 3.775684 6.924467 2.86621 5.256524 2.7679 5.8992 3.13497 6.681659 2.400765 5.116825 
1.2617 5.8220 1.434413 6.619236 1.088897 5.024816 0.7086 5.6392 0.802554 6.387131 0.614597 4.891274 
-0.8219 5.4605 -0.93449 6.208223 -0.70939 4.712806 -1.3750 5.2890 -1.55739 5.990531 -1.19265 4.587557 
-2.9349 5.0076 -3.33675 5.693341 -2.53301 4.321947 -3.4880 4.8504 -3.95057 5.493703 -3.02535 4.207086 
-5.0333 4.6123 -5.72255 5.243826 -4.34412 3.98071 -5.5864 4.4674 -6.32735 5.059951 -4.84549 3.874918 
-7.1223 4.5870 -8.09756 5.215094 -6.14705 3.958899 -7.6754 4.4430 -8.69337 5.032225 -6.6574 3.853686 
-9.1905 4.5048 -10.449 5.121668 -7.93207 3.887977 -9.7436 4.3634 -11.0359 4.942075 -8.45132 3.784649 
-11.2424 4.3704 -12.7818 4.96882 -9.703 3.771946 -11.7955 4.2331 -13.3599 4.794587 -10.2311 3.671702 
-13.2351 4.1887 -15.0474 4.762264 -11.4228 3.615145 -13.7882 4.0572 -15.6169 4.595274 -11.9594 3.519067 
-15.1732 3.9653 -17.2509 4.508309 -13.0956 3.422362 -15.7263 3.8408 -17.8121 4.350224 -13.6405 3.331408 
-17.0598 3.7063 -19.3958 4.213852 -14.7238 3.198833 -17.6129 3.5900 -19.9489 4.066093 -15.2769 3.11382

 I-46 
d) Peening,2-2,Sz (continued) 
72 90 
1.2566371 1.5707963 
0.905654 1.1275819 0.8724181 0.8689889 1.1224168 0.8775832 From Analyses 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface Mean 
Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) 
(ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 
-65.2135 0.0000 -73.5335 0 -56.8934 0 -65.9860 0.0000 -74.0638 0 -57.9082 0 -63.4860 0 
-57.0446 -5.9356 -64.3224 -6.69293 -49.7667 -5.17837 -57.8171 -5.6953 -64.8949 -6.39255 -50.7393 -4.99814 -55.3171 -6.55399 
-49.2926 -8.2841 -55.5815 -9.34096 -43.0038 -7.22717 -50.0652 -7.9487 -56.194 -8.92174 -43.9364 -6.97563 -47.5652 -9.14705 
-42.0656 -10.0111 -47.4324 -11.2883 -36.6988 -8.73386 -42.8382 -9.6058 -48.0823 -10.7817 -37.594 -8.42989 -40.3382 -11.054 
-35.2908 -11.4044 -39.7933 -12.8594 -30.7883 -9.94945 -36.0634 -10.9427 -40.4781 -12.2823 -31.6486 -9.60317 -33.5634 -12.5925 
-28.9570 -12.5775 -32.6514 -14.1822 -25.2626 -10.9729 -29.7295 -12.0683 -33.3689 -13.5457 -26.0901 -10.591 -27.2295 -13.8878 
-23.0088 -13.5893 -25.9443 -15.3231 -20.0733 -11.8556 -23.7813 -13.0392 -26.6926 -14.6354 -20.8701 -11.443 -21.2813 -15.005 
-17.5264 -14.5129 -19.7624 -16.3645 -15.2903 -12.6613 -18.2989 -13.9254 -20.539 -15.6301 -16.0588 -12.2207 -15.7989 -16.0248 
-12.4512 -15.3498 -14.0397 -17.3082 -10.8626 -13.3915 -13.2237 -14.7284 -14.8425 -16.5314 -11.6049 -12.9254 -10.7237 -16.9489 
-7.7719 -15.9445 -8.76348 -17.9787 -6.78037 -13.9103 -8.5445 -15.2990 -9.59045 -17.1718 -7.49848 -13.4261 -6.0445 -17.6055 
-3.4455 -15.0608 -3.88513 -16.9823 -3.00595 -13.1394 -4.2181 -14.4511 -4.73445 -16.2202 -3.70172 -12.6821 -1.7181 -16.6298 
0.4727 -14.0596 0.533016 -15.8534 0.412398 -12.2659 -0.2998 -13.4904 -0.33654 -15.1419 -0.26313 -11.839 2.2002 -15.5243 
4.0288 -12.9690 4.542823 -14.6236 3.514814 -11.3144 3.2563 -12.4439 3.654899 -13.9673 2.857653 -10.9206 5.7563 -14.32 
7.2575 -11.8740 8.183465 -13.3889 6.331605 -10.3591 6.4850 -11.3933 7.278864 -12.788 5.69112 -9.99858 8.9850 -13.111 
10.1205 -10.7928 11.41168 -12.1697 8.829302 -9.41581 9.3480 -10.3558 10.4923 -11.6236 8.203605 -9.0881 11.8480 -11.9171 
12.6551 -9.6794 14.26968 -10.9143 11.04055 -8.44445 11.8826 -9.2875 13.3372 -10.4244 10.42795 -8.15055 14.3826 -10.6877 
14.8726 -8.5479 16.77011 -9.63846 12.97516 -7.45735 14.1001 -8.2018 15.82618 -9.20589 12.374 -7.1978 16.6001 -9.43838 
16.7979 -7.4112 18.94106 -8.35669 14.65483 -6.46563 16.0254 -7.1111 17.98718 -7.98164 14.06363 -6.2406 18.5254 -8.18321 
18.4127 -6.2803 20.76188 -7.08154 16.06361 -5.47903 17.6402 -6.0260 19.79966 -6.76372 15.48074 -5.28834 20.1402 -6.93453 
19.7442 -5.1788 22.26325 -5.8395 17.22523 -4.51806 18.9717 -4.9691 21.29415 -5.57743 16.64924 -4.36082 21.4717 -5.71828 
20.8037 -4.1387 23.45785 -4.66673 18.1495 -3.61068 20.0311 -3.9711 22.48328 -4.45728 17.57899 -3.48501 22.5311 -4.56985 
21.6075 -3.1251 24.36421 -3.52384 18.85076 -2.72642 20.8349 -2.9986 23.38549 -3.36569 18.2844 -2.63153 23.3349 -3.45069 
22.1546 -2.1451 24.98115 -2.41874 19.3281 -1.8714 21.3821 -2.0582 23.99961 -2.31019 18.76456 -1.80626 23.8821 -2.36853 
22.4635 -1.2048 25.32944 -1.35856 19.59756 -1.05113 21.6910 -1.1561 24.34629 -1.29759 19.03562 -1.01455 24.1910 -1.33036 
22.5454 -0.3101 25.42173 -0.34968 19.66897 -0.27055 21.7728 -0.2976 24.43817 -0.33398 19.10745 -0.26113 24.2728 -0.34242 
22.4096 0.5340 25.26863 0.602128 19.55052 0.46587 21.6370 0.5124 24.28576 0.575104 18.98829 0.449656 24.1370 0.589628 
22.0696 1.3210 24.88523 1.48949 19.25388 1.152429 21.2970 1.2675 23.90412 1.422642 18.6899 1.11232 23.7970 1.45857 
21.5363 2.0521 24.28395 2.313955 18.78867 1.790324 20.7638 1.9691 23.3056 2.210105 18.22194 1.728013 23.2638 2.26592 
20.8149 2.7237 23.47046 3.071195 18.15926 2.376205 20.0423 2.6134 22.49584 2.93336 17.5888 2.293504 22.5423 3.00744 
19.9276 3.3322 22.47001 3.757349 17.38521 2.907087 19.1551 3.1973 21.49997 3.588719 16.81017 2.805909 21.6551 3.67935 
18.8809 3.8747 21.28981 4.369067 16.47208 3.380378 18.1084 3.7179 20.32517 4.172984 15.89163 3.262728 20.6084 4.27837 
17.6861 4.3486 19.94252 4.90341 15.42967 3.793803 16.9135 4.1726 18.98405 4.683345 14.84305 3.661764 19.4135 4.80162 
16.3435 4.7879 18.42859 5.398773 14.25833 4.177069 15.5709 4.5941 17.47706 5.156476 13.66478 4.031691 18.0709 5.2867 
14.8850 5.1656 16.78409 5.824603 12.98597 4.506536 14.1125 4.9564 15.84009 5.563195 12.38488 4.349691 16.6125 5.70369 
13.3122 5.4677 15.01061 6.165234 11.61382 4.770085 12.5397 5.2463 14.07474 5.888539 11.0046 4.604068 15.0397 6.03725 
11.6363 5.6929 13.12083 6.419175 10.15168 4.966562 10.8637 5.4624 12.19361 6.131083 9.53381 4.793706 13.3637 6.28592 
9.8544 5.8403 11.11159 6.585437 8.597116 5.095199 9.0818 5.6039 10.19358 6.289883 7.970045 4.917866 11.5818 6.44873 
8.0052 5.9094 9.026562 6.663385 6.983915 5.155508 7.2327 5.6702 8.118099 6.364333 6.347292 4.976076 9.7327 6.52506 
6.0868 5.9109 6.863343 6.665039 5.310217 5.156788 5.3142 5.6716 5.964789 6.365913 4.663686 4.977312 7.8142 6.52668 
4.0947 5.8370 4.617106 6.58173 3.572288 5.092331 3.3222 5.6007 3.728842 6.286342 2.915467 4.915098 5.8222 6.4451 
2.0709 5.6747 2.335162 6.39869 1.806732 4.950712 1.2984 5.4450 1.457351 6.111518 1.139458 4.778408 3.7984 6.26586 
0.0117 5.4246 0.013142 6.116635 0.010168 4.732484 -0.7609 5.2049 -0.85403 5.842121 -0.66774 4.567775 1.7391 5.98966 
-2.0719 5.0877 -2.33628 5.736831 -1.8076 4.438627 -2.8445 4.8818 -3.1927 5.479362 -2.49627 4.284145 -0.3445 5.61774 
-4.1849 4.6658 -4.71879 5.261044 -3.65096 4.070507 -4.9574 4.4769 -5.56429 5.024929 -4.35055 3.928837 -2.4574 5.15183 
-6.2833 4.2974 -7.08498 4.845661 -5.4817 3.749122 -7.0559 4.1234 -7.91964 4.628188 -6.19212 3.618638 -4.5559 4.74507 
-8.3723 4.2738 -9.44046 4.81911 -7.30415 3.728579 -9.1448 4.1008 -10.2643 4.602829 -8.02536 3.59881 -6.6448 4.71907 
-10.4405 4.1973 -11.7726 4.732778 -9.10851 3.661784 -11.2131 4.0274 -12.5857 4.520371 -9.84041 3.534339 -8.7131 4.63453 
-12.4924 4.0720 -14.0862 4.591536 -10.8986 3.552504 -13.2650 3.9072 -14.8888 4.385468 -11.6411 3.428863 -10.7650 4.49622 
-14.4851 3.9027 -16.3331 4.400663 -12.6371 3.404824 -15.2576 3.7447 -17.1254 4.203162 -13.3898 3.286323 -12.7576 4.30931 
-16.4232 3.6946 -18.5185 4.165992 -14.3279 3.223257 -17.1958 3.5450 -19.3008 3.979022 -15.0907 3.111075 -14.6958 4.07951 
-18.3098 3.4533 -20.6458 3.893893 -15.9738 3.012733 -19.0824 3.3135 -21.4184 3.719136 -16.7464 2.907878 -16.5824 3.81306

 I-47 
d) Peening,2-2,Sz (continued) 
In Metric Unit 
Unit Conv: 1.0000 in = 25.4000 mm 1.0000 ksi = 6.8948 MPa 1.0000 ksi-in^0.5= 1.0988 MPa-m^0.5 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Depth Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) 
(mm) (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 
0.0000 -437.7205 0.0000 -499.3834 0.0000 -376.0577 0.0000 -438.5642 0.0000 -499.8933 0.0000 -377.2350 0.0000 
0.3277 -381.3980 -7.2018 -435.1266 -8.2163 -327.6695 -6.1873 -382.2417 -7.1491 -435.6946 -8.1488 -328.7887 -6.1493 
0.6579 -327.9504 -10.0512 -374.1496 -11.4671 -281.7511 -8.6352 -328.7940 -9.9775 -374.7728 -11.3728 -282.8152 -8.5823 
0.9855 -278.1218 -12.1466 -317.3016 -13.8577 -238.9420 -10.4355 -278.9654 -12.0576 -317.9762 -13.7438 -239.9547 -10.3715 
1.3132 -231.4112 -13.8372 -264.0107 -15.7865 -198.8117 -11.8879 -232.2548 -13.7358 -264.7335 -15.6567 -199.7761 -11.8150 
1.6408 -187.7410 -15.2605 -214.1885 -17.4103 -161.2934 -13.1107 -188.5846 -15.1487 -214.9564 -17.2671 -162.2128 -13.0303 
1.9710 -146.7295 -16.4881 -167.3997 -18.8109 -126.0594 -14.1654 -147.5732 -16.3674 -168.2099 -18.6562 -126.9364 -14.0785 
2.2987 -108.9299 -17.6087 -124.2751 -20.0893 -93.5846 -15.1281 -109.7735 -17.4798 -125.1243 -19.9241 -94.4227 -15.0354 
2.6264 -73.9375 -18.6242 -84.3533 -21.2478 -63.5218 -16.0005 -74.7812 -18.4878 -85.2386 -21.0731 -64.3237 -15.9024 
2.9540 -41.6751 -19.3457 -47.5460 -22.0710 -35.8042 -16.6204 -42.5188 -19.2040 -48.4646 -21.8895 -36.5729 -16.5185 
3.2842 -11.8458 -18.2735 -13.5145 -20.8478 -10.1770 -15.6993 -12.6894 -18.1397 -14.4639 -20.6764 -10.9149 -15.6030 
3.6119 15.1696 -17.0588 17.3066 -19.4619 13.0326 -14.6557 14.3260 -16.9338 16.3293 -19.3019 12.3226 -14.5658 
3.9395 39.6881 -15.7354 45.2791 -17.9521 34.0972 -13.5187 38.8445 -15.6202 44.2765 -17.8045 33.4124 -13.4358 
4.2697 61.9493 -14.4069 70.6763 -16.4365 53.2224 -12.3774 61.1057 -14.3014 69.6508 -16.3013 52.5606 -12.3015 
4.5974 81.6887 -13.0950 93.1965 -14.9398 70.1810 -11.2503 80.8451 -12.9991 92.1506 -14.8169 69.5397 -11.1813 
4.9251 99.1643 -11.7441 113.1339 -13.3985 85.1948 -10.0897 98.3207 -11.6581 112.0699 -13.2884 84.5715 -10.0278 
5.2527 114.4536 -10.3713 130.5770 -11.8323 98.3302 -8.9103 113.6100 -10.2953 129.4973 -11.7350 97.7227 -8.8556 
5.5829 127.7282 -8.9921 145.7216 -10.2588 109.7348 -7.7253 126.8845 -8.9262 144.6282 -10.1744 109.1409 -7.6780 
5.9106 138.8618 -7.6200 158.4236 -8.6934 119.3000 -6.5465 138.0182 -7.5641 157.3187 -8.6219 118.7176 -6.5064 
6.2382 148.0421 -6.2835 168.8972 -7.1687 127.1870 -5.3983 147.1985 -6.2375 167.7829 -7.1097 126.6141 -5.3652 
6.5659 155.3467 -5.0215 177.2308 -5.7289 133.4626 -4.3141 154.5030 -4.9848 176.1089 -5.6818 132.8972 -4.2877 
6.8961 160.8888 -3.7918 183.5536 -4.3259 138.2239 -3.2576 160.0451 -3.7640 182.4260 -4.2904 137.6643 -3.2376 
7.2238 164.6611 -2.6026 187.8574 -2.9693 141.4649 -2.2360 163.8175 -2.5836 186.7259 -2.9449 140.9091 -2.2223 
7.5514 166.7908 -1.4619 190.2870 -1.6678 143.2945 -1.2559 165.9471 -1.4511 189.1533 -1.6541 142.7410 -1.2482 
7.8791 167.3551 -0.3763 190.9309 -0.4293 143.7794 -0.3233 166.5115 -0.3735 189.7966 -0.4257 143.2264 -0.3213 
8.2093 166.4189 0.6479 189.8628 0.7392 142.9751 0.5566 165.5753 0.6432 188.7295 0.7331 142.4211 0.5532 
8.5369 164.0746 1.6027 187.1882 1.8285 140.9610 1.3770 163.2310 1.5910 186.0573 1.8135 140.4046 1.3685 
8.8646 160.3980 2.4899 182.9937 2.8406 137.8023 2.1391 159.5544 2.4717 181.8666 2.8173 137.2422 2.1260 
9.1948 155.4238 3.3047 177.3188 3.7702 133.5288 2.8392 154.5802 3.2805 176.1968 3.7392 132.9636 2.8218 
9.5225 149.3064 4.0430 170.3396 4.6126 128.2732 3.4735 148.4628 4.0134 169.2240 4.5747 127.7017 3.4522 
9.8501 142.0899 4.7013 162.1065 5.3635 122.0733 4.0390 141.2463 4.6668 160.9983 5.3194 121.4943 4.0142 
10.1778 133.8517 5.2762 152.7077 6.0195 114.9956 4.5330 133.0081 5.2376 151.6080 5.9700 114.4081 4.5052 
10.5080 124.5946 5.8093 142.1466 6.6276 107.0426 4.9909 123.7510 5.7667 141.0564 6.5731 106.4455 4.9603 
10.8356 114.5391 6.2675 130.6745 7.1504 98.4036 5.3845 113.6954 6.2216 129.5947 7.0916 97.7962 5.3515 
11.1633 103.6949 6.6340 118.3026 7.5685 89.0871 5.6994 102.8512 6.5854 117.2340 7.5063 88.4684 5.6645 
11.4910 92.1395 6.9072 105.1195 7.8803 79.1596 5.9342 91.2959 6.8566 104.0628 7.8155 78.5290 5.8978 
11.8212 79.8538 7.0861 91.1030 8.0844 68.6046 6.0879 79.0101 7.0342 90.0590 8.0179 67.9613 6.0506 
12.1488 67.1046 7.1700 76.5578 8.1801 57.6514 6.1600 66.2609 7.1175 75.5269 8.1128 56.9950 6.1222 
12.4765 53.8773 7.1718 61.4671 8.1821 46.2874 6.1615 53.0336 7.1193 60.4499 8.1148 45.6174 6.1237 
12.8067 40.1423 7.0822 45.7973 8.0798 34.4874 6.0845 39.2987 7.0303 44.7943 8.0134 33.8031 6.0472 
13.1343 26.1891 6.8852 29.8784 7.8551 22.4998 5.9153 25.3454 6.8348 28.8898 7.7905 21.8011 5.8790 
13.4620 11.9908 6.5817 13.6799 7.5089 10.3016 5.6545 11.1471 6.5335 12.7059 7.4471 9.5883 5.6198 
13.7897 -2.3751 6.1730 -2.7097 7.0426 -2.0405 5.3034 -3.2188 6.1278 -3.6689 6.9847 -2.7686 5.2709 
14.1199 -16.9433 5.6611 -19.3302 6.4585 -14.5565 4.8636 -17.7870 5.6196 -20.2743 6.4054 -15.2996 4.8337 
14.4475 -31.4117 5.2141 -35.8367 5.9486 -26.9866 4.4796 -32.2553 5.1759 -36.7659 5.8997 -27.7447 4.4521 
14.7752 -45.8146 5.1855 -52.2686 5.9160 -39.3606 4.4550 -46.6582 5.1475 -53.1830 5.8674 -40.1335 4.4277 
15.1028 -60.0745 5.0926 -68.5374 5.8100 -51.6117 4.3752 -60.9182 5.0553 -69.4370 5.7623 -52.3993 4.3484 
15.4330 -74.2218 4.9406 -84.6776 5.6366 -63.7660 4.2446 -75.0654 4.9045 -85.5627 5.5903 -64.5682 4.2186 
15.7607 -87.9608 4.7353 -100.3520 5.4023 -75.5695 4.0682 -88.8044 4.7006 -101.2229 5.3579 -76.3859 4.0432 
16.0884 -101.3237 4.4827 -115.5975 5.1142 -87.0500 3.8512 -102.1674 4.4499 -116.4545 5.0722 -87.8802 3.8276 
16.4186 -114.3313 4.1900 -130.4374 4.7802 -98.2251 3.5997 -115.1749 4.1593 -131.2811 4.7409 -99.0688 3.5776

 I-48 
d) Peening,2-2,Sz (continued) 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) 
(ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 
-441.0125 0.0000 -501.4003 0.0000 -380.6246 0.0000 -444.8258 0.0000 -503.8232 0.0000 -385.8285 0.0000 
-384.6900 -7.0002 -437.3656 -7.9588 -332.0144 -6.0417 -388.5033 -6.7804 -440.0306 -7.6797 -336.9761 -5.8811 
-331.2423 -9.7699 -376.5993 -11.1077 -285.8853 -8.4321 -335.0557 -9.4631 -379.4941 -10.7182 -290.6172 -8.2080 
-281.4138 -11.8067 -319.9477 -13.4233 -242.8798 -10.1900 -285.2271 -11.4359 -323.0568 -12.9527 -247.3974 -9.9192 
-234.7031 -13.4499 -266.8410 -15.2916 -202.5652 -11.6082 -238.5165 -13.0276 -270.1509 -14.7554 -206.8820 -11.2997 
-191.0329 -14.8334 -217.1911 -16.8646 -164.8748 -12.8023 -194.8463 -14.3676 -220.6888 -16.2732 -169.0038 -12.4620 
-150.0215 -16.0267 -170.5640 -18.2212 -129.4791 -13.8321 -153.8349 -15.5234 -174.2380 -17.5823 -133.4317 -13.4645 
-112.2218 -17.1159 -127.5883 -19.4596 -96.8553 -14.7722 -116.0352 -16.5784 -131.4249 -18.7772 -100.6454 -14.3796 
-77.2295 -18.1029 -87.8045 -20.5818 -66.6545 -15.6241 -81.0428 -17.5345 -91.7916 -19.8601 -70.2941 -15.2089 
-44.9671 -18.8042 -51.1244 -21.3791 -38.8097 -16.2294 -48.7804 -18.2138 -55.2502 -20.6295 -42.3107 -15.7981 
-15.1377 -17.7621 -17.2105 -20.1943 -13.0649 -15.3299 -18.9511 -17.2043 -21.4646 -19.4862 -16.4376 -14.9225 
11.8776 -16.5813 13.5041 -18.8518 10.2512 -14.3109 8.0643 -16.0607 9.1339 -18.1908 6.9947 -13.9305 
36.3962 -15.2950 41.3799 -17.3894 31.4124 -13.2007 32.5828 -14.8147 36.9043 -16.7796 28.2614 -12.8499 
58.6574 -14.0037 66.6893 -15.9212 50.6254 -12.0862 54.8440 -13.5640 62.1180 -15.3630 47.5701 -11.7650 
78.3968 -12.7285 89.1317 -14.4714 67.6619 -10.9856 74.5834 -12.3288 84.4755 -13.9640 64.6914 -10.6937 
95.8724 -11.4154 109.0002 -12.9785 82.7446 -9.8523 92.0590 -11.0570 104.2688 -12.5234 79.8492 -9.5905 
111.1617 -10.0810 126.3830 -11.4614 95.9403 -8.7006 107.3483 -9.7645 121.5859 -11.0595 93.1107 -8.4694 
124.4362 -8.7404 141.4753 -9.9372 107.3972 -7.5436 120.6229 -8.4659 136.6211 -9.5888 104.6246 -7.3431 
135.5698 -7.4067 154.1334 -8.4209 117.0063 -6.3925 131.7565 -7.1741 149.2314 -8.1256 114.2816 -6.2226 
144.7502 -6.1076 164.5708 -6.9440 124.9295 -5.2713 140.9368 -5.9158 159.6293 -6.7005 122.2444 -5.1312 
152.0547 -4.8810 172.8756 -5.5494 131.2339 -4.2127 148.2414 -4.7277 167.9027 -5.3548 128.5801 -4.1007 
157.5968 -3.6856 179.1766 -4.1903 136.0171 -3.1810 153.7835 -3.5699 174.1798 -4.0434 133.3872 -3.0964 
161.3692 -2.5298 183.4655 -2.8762 139.2729 -2.1834 157.5558 -2.4504 178.4525 -2.7754 136.6592 -2.1254 
163.4988 -1.4209 185.8867 -1.6155 141.1109 -1.2264 159.6855 -1.3763 180.8646 -1.5589 138.5064 -1.1938 
164.0632 -0.3657 186.5284 -0.4158 141.5980 -0.3157 160.2498 -0.3542 181.5038 -0.4012 138.9959 -0.3073 
163.1270 0.6298 185.4640 0.7160 140.7900 0.5435 159.3136 0.6100 180.4434 0.6909 138.1839 0.5291 
160.7826 1.5579 182.7986 1.7712 138.7667 1.3446 156.9693 1.5090 177.7882 1.7091 136.1504 1.3088 
157.1061 2.4202 178.6186 2.7516 135.5935 2.0888 153.2927 2.3442 173.6240 2.6551 132.9615 2.0333 
152.1319 3.2122 172.9633 3.6521 131.3004 2.7724 148.3185 3.1113 167.9900 3.5240 128.6470 2.6987 
146.0145 3.9299 166.0083 4.4680 126.0207 3.3918 142.2011 3.8065 161.0613 4.3113 123.3410 3.3016 
138.7980 4.5697 157.8036 5.1954 119.7924 3.9440 134.9846 4.4262 152.8876 5.0132 117.0816 3.8391 
130.5597 5.1286 148.4373 5.8308 112.6822 4.4263 126.7464 4.9675 143.5568 5.6264 109.9360 4.3087 
121.3027 5.6467 137.9126 6.4199 104.6927 4.8735 117.4893 5.4694 133.0719 6.1948 101.9067 4.7440 
111.2471 6.0921 126.4802 6.9262 96.0140 5.2579 107.4338 5.9007 121.6827 6.6834 93.1848 5.1181 
100.4029 6.4483 114.1511 7.3313 86.6547 5.5654 96.5896 6.2458 109.4003 7.0742 83.7789 5.4174 
88.8476 6.7139 101.0135 7.6333 76.6817 5.7946 85.0342 6.5031 96.3123 7.3656 73.7561 5.6406 
76.5618 6.8878 87.0454 7.8310 66.0782 5.9447 72.7485 6.6715 82.3971 7.5564 63.0998 5.7867 
63.8126 6.9693 72.5505 7.9237 55.0748 6.0150 59.9993 6.7505 67.9570 7.6458 52.0416 5.8552 
50.5853 6.9711 57.5120 7.9256 43.6587 6.0165 46.7720 6.7522 52.9753 7.6477 40.5686 5.8566 
36.8504 6.8839 41.8963 7.8266 31.8045 5.9413 33.0370 6.6678 37.4187 7.5521 28.6553 5.7834 
22.8971 6.6925 26.0324 7.6089 19.7618 5.7761 19.0838 6.4823 21.6149 7.3421 16.5527 5.6226 
8.6988 6.3975 9.8899 7.2735 7.5077 5.5215 4.8855 6.1966 5.5334 7.0185 4.2375 5.3747 
-5.6671 6.0002 -6.4431 6.8219 -4.8911 5.1786 -9.4804 5.8118 -10.7378 6.5827 -8.2230 5.0410 
-20.2353 5.5026 -23.0061 6.2561 -17.4645 4.7491 -24.0486 5.3298 -27.2382 6.0367 -20.8590 4.6229 
-34.7037 5.0682 -39.4556 5.7621 -29.9517 4.3742 -38.5170 4.9090 -43.6255 5.5601 -33.4085 4.2579 
-49.1066 5.0404 -55.8307 5.7306 -42.3824 4.3502 -52.9199 4.8821 -59.9387 5.5296 -45.9011 4.2346 
-63.3665 4.9501 -72.0433 5.6279 -54.6897 4.2723 -67.1798 4.7946 -76.0899 5.4306 -58.2698 4.1587 
-77.5138 4.8024 -88.1277 5.4600 -66.8998 4.1448 -81.3271 4.6516 -92.1135 5.2685 -70.5407 4.0346 
-91.2527 4.6027 -103.7480 5.2330 -78.7575 3.9725 -95.0661 4.4582 -107.6747 5.0495 -82.4574 3.8669 
-104.6157 4.3573 -118.9407 4.9539 -90.2906 3.7606 -108.4290 4.2205 -122.8100 4.7802 -94.0481 3.6607 
-117.6232 4.0727 -133.7294 4.6304 -101.5171 3.5150 -121.4366 3.9448 -137.5427 4.4680 -105.3304 3.4216

 I-49 
d) Peening,2-2,Sz (continued) 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) Stress: Sz K(Sz) 
(ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 
-449.6309 0.0000 -506.9957 0.0000 -392.2662 0.0000 -454.9574 0.0000 -510.6519 0.0000 -399.2630 0.0000 
-393.3084 -6.5223 -443.4875 -7.3545 -343.1294 -5.6902 -398.6349 -6.2583 -447.4345 -7.0244 -349.8353 -5.4922 
-339.8608 -9.1029 -383.2208 -10.2642 -296.5007 -7.9415 -345.1872 -8.7344 -387.4440 -9.8036 -302.9305 -7.6651 
-290.0322 -11.0006 -327.0351 -12.4041 -253.0293 -9.5971 -295.3587 -10.5553 -331.5156 -11.8474 -259.2018 -9.2631 
-243.3216 -12.5317 -274.3650 -14.1305 -212.2781 -10.9329 -248.6481 -12.0244 -279.0868 -13.4963 -218.2094 -10.5524 
-199.6514 -13.8207 -225.1233 -15.5840 -174.1795 -12.0575 -204.9779 -13.2612 -230.0706 -14.8846 -179.8851 -11.6378 
-158.6399 -14.9325 -178.8795 -16.8377 -138.4004 -13.0274 -163.9664 -14.3280 -184.0387 -16.0820 -143.8942 -12.5740 
-120.8402 -15.9474 -136.2573 -17.9820 -105.4232 -13.9128 -126.1667 -15.3018 -141.6117 -17.1750 -110.7218 -13.4286 
-85.8479 -16.8671 -96.8006 -19.0190 -74.8953 -14.7151 -91.1744 -16.1842 -102.3357 -18.1654 -80.0132 -14.2030 
-53.5855 -17.5205 -60.4221 -19.7558 -46.7490 -15.2852 -58.9120 -16.8112 -66.1238 -18.8692 -51.7002 -14.7532 
-23.7562 -16.5495 -26.7870 -18.6609 -20.7253 -14.4381 -29.0827 -15.8795 -32.6429 -17.8234 -25.5225 -13.9356 
3.2592 -15.4493 3.6750 -17.4204 2.8434 -13.4783 -2.0673 -14.8239 -2.3204 -16.6386 -1.8142 -13.0092 
27.7777 -14.2509 31.3217 -16.0690 24.2338 -12.4327 22.4512 -13.6739 25.1996 -15.3478 19.7028 -12.0000 
50.0389 -13.0477 56.4230 -14.7123 43.6549 -11.3830 44.7124 -12.5195 50.1860 -14.0521 39.2389 -10.9869 
69.7783 -11.8596 78.6808 -13.3726 60.8759 -10.3465 64.4518 -11.3794 72.3418 -12.7725 56.5619 -9.9864 
87.2539 -10.6361 98.3860 -11.9931 76.1219 -9.2791 81.9274 -10.2055 91.9567 -11.4548 71.8982 -8.9562 
102.5432 -9.3928 115.6259 -10.5912 89.4605 -8.1945 97.2167 -9.0125 109.1177 -10.1158 85.3158 -7.9093 
115.8178 -8.1437 130.5940 -9.1827 101.0415 -7.1047 110.4913 -7.8140 124.0173 -8.7706 96.9653 -6.8574 
126.9514 -6.9010 143.1481 -7.7815 110.7547 -6.0206 121.6249 -6.6217 136.5138 -7.4323 106.7360 -5.8111 
136.1317 -5.6907 153.4997 -6.4167 118.7638 -4.9646 130.8052 -5.4603 146.8180 -6.1287 114.7925 -4.7919 
143.4363 -4.5478 161.7362 -5.1280 125.1364 -3.9676 138.1098 -4.3637 155.0167 -4.8979 121.2028 -3.8295 
148.9784 -3.4340 167.9853 -3.8721 129.9714 -2.9959 143.6519 -3.2950 161.2373 -3.6984 126.0665 -2.8916 
152.7507 -2.3571 172.2390 -2.6578 133.2625 -2.0564 147.4243 -2.2617 165.4715 -2.5385 129.3771 -1.9848 
154.8804 -1.3239 174.6403 -1.4928 135.1204 -1.1550 149.5539 -1.2703 167.8618 -1.4258 131.2460 -1.1148 
155.4447 -0.3408 175.2767 -0.3842 135.6128 -0.2973 150.1182 -0.3270 168.4952 -0.3670 131.7412 -0.2869 
154.5085 0.5868 174.2210 0.6616 134.7961 0.5119 149.1821 0.5630 167.4444 0.6319 130.9197 0.4941 
152.1642 1.4515 171.5776 1.6367 132.7508 1.2663 146.8377 1.3928 164.8131 1.5633 128.8623 1.2223 
148.4876 2.2550 167.4320 2.5427 129.5433 1.9673 143.1611 2.1637 160.6865 2.4286 125.6358 1.8988 
143.5134 2.9929 161.8231 3.3748 125.2037 2.6111 138.1869 2.8718 155.1033 3.2233 121.2705 2.5202 
137.3960 3.6616 154.9253 4.1287 119.8668 3.1944 132.0696 3.5133 148.2371 3.9434 115.9020 3.0833 
130.1795 4.2577 146.7881 4.8009 113.5710 3.7145 124.8530 4.0853 140.1371 4.5855 109.5689 3.5852 
121.9413 4.7784 137.4988 5.3881 106.3838 4.1688 116.6148 4.5850 130.8904 5.1463 102.3392 4.0237 
112.6842 5.2612 127.0607 5.9324 98.3077 4.5899 107.3577 5.0482 120.5001 5.6662 94.2153 4.4302 
102.6287 5.6761 115.7222 6.4003 89.5351 4.9520 97.3022 5.4464 109.2136 6.1131 85.3907 4.7796 
91.7845 6.0081 103.4945 6.7746 80.0744 5.2416 86.4580 5.7649 97.0419 6.4706 75.8741 5.0591 
80.2291 6.2556 90.4649 7.0537 69.9934 5.4575 74.9026 6.0023 84.0720 6.7371 65.7333 5.2675 
67.9434 6.4176 76.6117 7.2364 59.2750 5.5988 62.6169 6.1578 70.2822 6.9116 54.9515 5.4040 
55.1942 6.4936 62.2359 7.3220 48.1524 5.6651 49.8677 6.2307 55.9723 6.9934 43.7630 5.4679 
41.9669 6.4952 47.3211 7.3238 36.6127 5.6665 36.6404 6.2322 41.1258 6.9951 32.1550 5.4693 
28.2319 6.4140 31.8338 7.2323 24.6301 5.5957 22.9054 6.1543 25.7095 6.9077 20.1014 5.4009 
14.2787 6.2356 16.1004 7.0312 12.4570 5.4401 8.9522 5.9832 10.0481 6.7156 7.8563 5.2507 
0.0804 5.9607 0.0906 6.7212 0.0701 5.2003 -5.2461 5.7194 -5.8883 6.4196 -4.6039 5.0193 
-14.2855 5.5906 -16.1081 6.3039 -12.4630 4.8774 -19.6120 5.3643 -22.0129 6.0210 -17.2112 4.7076 
-28.8537 5.1270 -32.5349 5.7811 -25.1725 4.4728 -34.1802 4.9194 -38.3644 5.5216 -29.9960 4.3172 
-43.3221 4.7222 -48.8492 5.3246 -37.7950 4.1197 -48.6486 4.5310 -54.6040 5.0857 -42.6932 3.9763 
-57.7250 4.6963 -65.0897 5.2954 -50.3603 4.0971 -63.0515 4.5062 -70.7701 5.0578 -55.3329 3.9545 
-71.9849 4.6122 -81.1689 5.2006 -62.8010 4.0237 -77.3114 4.4254 -86.7757 4.9672 -67.8472 3.8837 
-86.1322 4.4745 -97.1211 5.0454 -75.1433 3.9036 -91.4587 4.2934 -102.6548 4.8189 -80.2626 3.7678 
-99.8712 4.2885 -112.6129 4.8356 -87.1294 3.7414 -105.1977 4.1149 -118.0756 4.6186 -92.3197 3.6112 
-113.2341 4.0598 -127.6807 4.5778 -98.7875 3.5419 -118.5606 3.8955 -133.0744 4.3723 -104.0468 3.4186 
-126.2417 3.7946 -142.3478 4.2788 -110.1355 3.3105 -131.5682 3.6410 -147.6743 4.0867 -115.4620 3.1953

 I-50 
e) Peening,2-2,SzPlt 
Peening, Middle Lid, Crack Originated From Outside Surface, Section 2-2, Sz, at 0 Deg 
-600 
-500 
-400 
-300 
-200 
-100
0 
100 
200 
300 
0 2 4 6 8 10 12 14 16 18 20 
Distance From Outside Surface (mm) 
Hoopl Stress (MPa) 
Mean 
Min,Inside Surface 
Max,Inside Surface

 I-51 
f) Peening,2-2,KSzPlt 
Peening, Middle Lid, Crack Originated From Outside Surface, 
Section 2-2, Sz, at 0 Deg 
-25 
-20 
-15 
-10 
-5
0
5 
10 
0 2 4 6 8 10 12 14 16 18 20 
Distance From Outside Surface (mm) 
K (MPa-m^0.5) 
Mean 
Min,Inside Surface 
Max,Inside Surface

 I-52 
g) Peening,3-3,Sy 
Results in Metric Unit start in Cell A80 
Angle(deg): 0 18 
(rad): 0 0.3141593 
Scale Facto 1 1.0970014 0.9029986 1.0050809 1.0965111 0.9034889 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Depth Stress: Sy K(Sy) Stress: Sy K(Sy) Stress: Sy K(Sy) Stress: Sy K(Sy) Stress: Sy K(Sy) Stress: Sy K(Sy) 
(in) (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 
0 -27.7030 0.0000 -30.3902 0 -25.0158 0 -27.8254 0.0000 -30.5108 0 -25.1399 0 
0.0315 -22.6771 -8.6321 -24.8768 -9.46947 -20.4774 -7.79481 -22.7995 -8.6760 -24.9999 -9.51333 -20.5991 -7.83867 
0.063 -18.0137 -10.8760 -19.761 -11.931 -16.2663 -9.82101 -18.1360 -10.9313 -19.8864 -11.9862 -16.3857 -9.87627 
0.0945 -13.7026 -11.7730 -15.0318 -12.915 -12.3735 -10.631 -13.8250 -11.8328 -15.1593 -12.9748 -12.4907 -10.6908 
0.126 -9.7340 -11.9020 -10.6782 -13.0565 -8.78975 -10.7475 -9.8563 -11.9625 -10.8076 -13.117 -8.90508 -10.808 
0.1575 -6.0977 -11.5176 -6.68915 -12.6348 -5.50619 -10.4004 -6.2200 -11.5761 -6.82033 -12.6933 -5.61973 -10.4589 
0.189 -2.7837 -10.7664 -3.05376 -11.8108 -2.51371 -9.72204 -2.9061 -10.8211 -3.18656 -11.8655 -2.62562 -9.77675 
0.2205 0.2179 -9.8049 0.238997 -10.7559 0.196731 -8.85377 0.0955 -9.8547 0.104722 -10.8058 0.086288 -8.90358 
0.252 2.9171 -8.6471 3.200099 -9.48587 2.634167 -7.80831 2.7948 -8.6910 3.064501 -9.5298 2.525048 -7.85224 
0.2835 5.3241 -7.3200 5.840535 -8.03002 4.807646 -6.60992 5.2017 -7.3572 5.703757 -8.06721 4.699707 -6.64711 
0.315 7.4488 -5.8620 8.171291 -6.4306 6.726212 -5.29336 7.3264 -5.8918 8.033471 -6.46038 6.619315 -5.32314 
0.3465 9.3011 -4.3046 10.20335 -4.72216 8.398908 -3.88706 9.1788 -4.3265 10.06463 -4.74403 8.292919 -3.90893 
0.378 10.8912 -2.6742 11.94771 -2.93361 9.834778 -2.41481 10.7689 -2.6878 11.8082 -2.9472 9.729569 -2.4284 
0.4096 12.2330 -1.0168 13.41958 -1.11543 11.04635 -0.91817 12.1106 -1.0220 13.27941 -1.1206 10.9418 -0.92334 
0.4411 13.3278 0.6555 14.62065 0.719136 12.03501 0.591958 13.2055 0.6589 14.47995 0.722467 11.931 0.595289 
0.4726 14.1905 2.3512 15.56701 2.579281 12.81401 2.123139 14.0682 2.3632 15.42589 2.591227 12.71042 2.135086 
0.5041 14.8310 4.0541 16.26965 4.447397 13.39239 3.660883 14.7087 4.0747 16.12821 4.467996 13.28911 3.681481 
0.5356 15.2594 5.7497 16.73954 6.30744 13.77918 5.19198 15.1370 5.7789 16.59789 6.336654 13.67612 5.221194 
0.5671 15.4856 7.4245 16.98769 8.144665 13.98344 6.704295 15.3632 7.4622 16.84593 8.182388 13.88049 6.742018 
0.5986 15.5196 8.9989 17.02506 9.87185 14.01421 8.12603 15.3973 9.0447 16.88328 9.917573 13.91127 8.171753 
0.6301 15.3716 10.3206 16.86266 11.32171 13.88052 9.319487 15.2492 10.3730 16.72095 11.37415 13.77751 9.371925 
0.6616 15.0514 11.5756 16.51146 12.69845 13.59143 10.45275 14.9291 11.6344 16.36991 12.75726 13.48826 10.51156 
0.6931 14.5692 12.7531 15.98245 13.99017 13.15598 11.51603 14.4469 12.8179 15.84113 14.05497 13.05257 11.58083 
0.7246 13.9349 13.8432 15.28662 15.18601 12.5832 12.50039 13.8126 13.9135 15.14562 15.25635 12.47949 12.57073 
0.7561 13.1586 14.8365 14.43495 16.27566 11.88215 13.39734 13.0362 14.9119 14.29433 16.35104 11.77806 13.47272 
0.7876 12.2502 15.7243 13.43844 17.24958 11.06187 14.19902 12.1278 15.8042 13.29826 17.32947 10.95733 14.27891 
0.8191 11.2197 16.5800 12.30806 18.18828 10.1314 14.97172 11.0974 16.6642 12.16839 18.27252 10.02635 15.05596 
0.8506 10.0773 17.3357 11.05481 19.01729 9.099785 15.65411 9.9549 17.4238 10.9157 19.10537 8.994177 15.74219 
0.8821 8.8329 17.9853 9.689667 19.7299 7.976066 16.2407 8.7105 18.0767 9.551168 19.82128 7.869848 16.33208 
0.9136 7.4965 18.5238 8.223623 20.32063 6.769289 16.72697 7.3741 18.6179 8.085779 20.41475 6.662415 16.82108 
0.9451 6.0781 18.9464 6.667661 20.78423 5.488496 17.10857 5.9557 19.0427 6.530513 20.88049 5.380927 17.20484 
0.9766 4.5878 19.2492 5.032769 21.1164 4.142732 17.382 4.4654 19.3470 4.896352 21.2142 4.034432 17.4798 
1.0081 3.0355 19.6333 3.329933 21.53776 2.74104 17.72884 2.9131 19.7331 3.194277 21.63751 2.631979 17.8286 
1.0396 1.4313 19.9797 1.57014 21.91776 1.292463 18.04164 1.3089 20.0812 1.43527 22.01927 1.182615 18.14316 
1.0711 -0.2148 20.2206 -0.23562 22.18203 -0.19395 18.25917 -0.3371 20.3233 -0.36969 22.28477 -0.30461 18.36191 
1.1026 -1.8928 20.3544 -2.07637 22.32881 -1.70917 18.37999 -2.0151 20.4578 -2.20961 22.43222 -1.82065 18.48341 
1.1341 -3.5926 20.3802 -3.94112 22.35711 -3.24414 18.40329 -3.7150 20.4837 -4.07353 22.46066 -3.35645 18.50684 
1.1656 -5.3044 20.2977 -5.81888 22.26661 -4.78982 18.32879 -5.4267 20.4008 -5.95045 22.36974 -4.90297 18.43192 
1.1972 -7.0233 19.6149 -7.70462 21.51757 -6.34207 17.71223 -7.1457 19.7146 -7.83535 21.61723 -6.45607 17.81189 
1.2287 -8.7287 18.2776 -9.5754 20.05055 -7.88201 16.50465 -8.8511 18.3705 -9.70529 20.14342 -7.99684 16.59751 
1.2602 -10.4158 16.7612 -11.4262 18.38706 -9.40549 15.13534 -10.5382 16.8464 -11.5553 18.47222 -9.52115 15.2205 
1.2917 -12.0748 15.0671 -13.246 16.52863 -10.9035 13.60557 -12.1971 15.1437 -13.3743 16.60518 -11.02 13.68212 
1.3232 -13.6954 13.1979 -15.0239 14.47812 -12.3669 11.91768 -13.8178 13.2650 -15.1513 14.54517 -12.4842 11.98474 
1.3547 -15.2678 11.1571 -16.7488 12.23935 -13.7868 10.07485 -15.3902 11.2138 -16.8755 12.29604 -13.9049 10.13153 
1.3862 -16.7820 9.2645 -18.4098 10.16318 -15.1541 8.365839 -16.9043 9.3116 -18.5358 10.21025 -15.2729 8.412911 
1.4177 -18.2278 8.1613 -19.9959 8.952947 -16.4597 7.369633 -18.3502 8.2028 -20.1211 8.994413 -16.5792 7.4111 
1.4492 -19.5953 6.9066 -21.4961 7.576528 -17.6946 6.236632 -19.7177 6.9417 -21.6207 7.61162 -17.8147 6.271724 
1.4807 -20.8745 5.5030 -22.8994 6.036832 -18.8497 4.969228 -20.9969 5.5310 -23.0233 6.064792 -18.9705 4.997189 
1.5122 -22.0554 3.9546 -24.1948 4.33818 -19.916 3.57098 -22.1778 3.9747 -24.3182 4.358273 -20.0374 3.591073 
1.5437 -23.1280 2.2664 -25.3714 2.486266 -20.8845 2.046574 -23.2503 2.2779 -25.4942 2.497781 -21.0064 2.058089 
1.5752 -24.0821 0.4448 -26.4181 0.487891 -21.7461 0.401609 -24.2045 0.4470 -26.5405 0.490151 -21.8685 0.403868

 I-53 
g) Peening,3-3,Sy (continued) 
36 54 
0.6283185 0.9424778 
1.0198262 1.0951156 0.9048844 1.0427926 1.0930208 0.9069792 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Stress: Sy K(Sy) Stress: Sy K(Sy) Stress: Sy K(Sy) Stress: Sy K(Sy) Stress: Sy K(Sy) Stress: Sy K(Sy) 
(ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 
-28.1805 0.0000 -30.8609 0 -25.5001 0 -28.7335 0.0000 -31.4064 0 -26.0607 0 
-23.1546 -8.8033 -25.357 -9.64061 -20.9522 -7.96595 -23.7077 -9.0015 -25.913 -9.83886 -21.5024 -8.1642 
-18.4911 -11.0916 -20.2499 -12.1466 -16.7323 -10.0366 -19.0442 -11.3414 -20.8157 -12.3964 -17.2727 -10.2864 
-14.1801 -12.0064 -15.5288 -13.1484 -12.8313 -10.8644 -14.7332 -12.2768 -16.1037 -13.4188 -13.3627 -11.1348 
-10.2114 -12.1380 -11.1827 -13.2925 -9.24015 -10.9835 -10.7645 -12.4113 -11.7658 -13.5658 -9.76318 -11.2568 
-6.5751 -11.7460 -7.20052 -12.8632 -5.94973 -10.6287 -7.1282 -12.0105 -7.79128 -13.1277 -6.46513 -10.8932 
-3.2612 -10.9799 -3.57138 -12.0242 -2.951 -9.9355 -3.8143 -11.2271 -4.16908 -12.2715 -3.45946 -10.1828 
-0.2596 -9.9992 -0.28429 -10.9503 -0.2349 -9.04816 -0.8127 -10.2244 -0.88827 -11.1755 -0.73708 -9.27334 
2.4397 -8.8185 2.671727 -9.65731 2.207624 -7.97975 1.8866 -9.0171 2.062089 -9.8559 1.711103 -8.17834 
4.8466 -7.4651 5.307624 -8.17514 4.385643 -6.75505 4.2936 -7.6332 4.692944 -8.34326 3.894164 -6.92316 
6.9713 -5.9782 7.634373 -6.54682 6.308215 -5.40958 6.4182 -6.1128 7.015242 -6.68145 5.821187 -5.54421 
8.8237 -4.3900 9.662943 -4.80751 7.984404 -3.9724 8.2706 -4.4888 9.039932 -4.90637 7.501257 -4.07126 
10.4138 -2.7272 11.4043 -2.98663 9.423272 -2.46783 9.8607 -2.7886 10.77796 -3.04805 8.943456 -2.52924 
11.7555 -1.0370 12.87364 -1.13559 10.63737 -0.93833 11.2024 -1.0603 12.24448 -1.15894 10.16037 -0.96168 
12.8504 0.6685 14.07265 0.732133 11.6281 0.604955 12.2973 0.6836 13.4412 0.747189 11.15339 0.620011 
13.7131 2.3978 15.01738 2.625896 12.40873 2.169755 13.1600 2.4518 14.38413 2.679895 11.93582 2.223754 
14.3536 4.1345 15.71881 4.527776 12.98831 3.741261 13.8005 4.2276 15.08421 4.620885 12.51675 3.83437 
14.7819 5.8637 16.1879 6.421435 13.37592 5.305975 14.2288 5.9958 15.5524 6.553485 12.90525 5.438025 
15.0081 7.5717 16.43561 8.291865 13.5806 6.851494 14.4550 7.7422 15.79965 8.462378 13.11041 7.022008 
15.0422 9.1774 16.47292 10.05026 13.61143 8.304445 14.4891 9.3840 15.83689 10.25694 13.14131 8.511118 
14.8941 10.5252 16.3108 11.52633 13.47747 9.524106 14.3411 10.7622 15.67507 11.76336 13.00704 9.761133 
14.5740 11.8051 15.9602 12.92795 13.18777 10.68225 14.0209 12.0710 15.32514 13.1938 12.71667 10.9481 
14.0918 13.0059 15.4321 14.24301 12.75141 11.76888 13.5387 13.2988 14.79805 14.53591 12.2793 12.06177 
13.4575 14.1177 14.73747 15.46047 12.17744 12.77485 12.9044 14.4356 14.10475 15.7784 11.704 13.09278 
12.6811 15.1307 13.88727 16.56981 11.47493 13.69149 12.1280 15.4714 13.25617 16.91055 10.99986 14.03223 
11.7727 16.0361 12.89247 17.56133 10.65293 14.51077 11.2196 16.3972 12.26328 17.92246 10.17596 14.8719 
10.7423 16.9087 11.76403 18.517 9.720516 15.30044 10.1892 17.2895 11.137 18.89779 9.241387 15.68122 
9.5998 17.6794 10.51293 19.36099 8.686745 15.99781 9.0468 18.0775 9.888297 19.75913 8.205223 16.39595 
8.3554 18.3419 9.150139 20.08648 7.560679 16.59728 7.8023 18.7549 8.528109 20.49954 7.076551 17.01034 
7.0190 18.8911 7.686615 20.68789 6.351382 17.09422 6.4659 19.3165 7.067384 21.11332 5.864454 17.51965 
5.6006 19.3220 6.133328 21.15986 5.067914 17.48421 5.0475 19.7572 5.517068 21.59499 4.578015 17.91934 
4.1103 19.6308 4.501246 21.49804 3.71934 17.76364 3.5572 20.0729 3.888109 21.94012 3.226319 18.20572 
2.5580 20.0226 2.801338 21.92701 2.31472 18.1181 2.0049 20.4735 2.191452 22.37792 1.818448 18.569 
0.9538 20.3758 1.044569 22.31388 0.863118 18.43776 0.4008 20.8347 0.438044 22.77274 0.363485 18.89662 
-0.6922 20.6215 -0.75809 22.58293 -0.6264 18.66007 -1.2453 21.0859 -1.36117 23.04732 -1.12949 19.12447 
-2.3702 20.7580 -2.59568 22.73236 -2.14478 18.78355 -2.9233 21.2254 -3.19524 23.19982 -2.65138 19.25101 
-4.0701 20.7843 -4.45722 22.76117 -3.68296 18.80735 -4.6232 21.2523 -5.05322 23.22923 -4.19312 19.27541 
-5.7818 20.7001 -6.33175 22.66903 -5.23187 18.73122 -6.3349 21.1663 -6.92416 23.1352 -5.74561 19.19739 
-7.5008 20.0038 -8.21425 21.90646 -6.78736 18.10112 -8.0539 20.4543 -8.80307 22.35695 -7.30471 18.5516 
-9.2062 18.6400 -10.0818 20.41293 -8.33051 16.86702 -9.7592 19.0597 -10.6671 20.8327 -8.85143 17.28679 
-10.8933 17.0935 -11.9294 18.71937 -9.85718 15.46765 -11.4464 17.4785 -12.5111 19.10432 -10.3816 15.8526 
-12.5522 15.3658 -13.7461 16.82735 -11.3583 13.90429 -13.1053 15.7119 -14.3244 17.17339 -11.8862 14.25033 
-14.1729 13.4596 -15.5209 14.73978 -12.8248 12.17935 -14.7260 13.7627 -16.0958 15.04289 -13.3561 12.48246 
-15.7453 11.3783 -17.2429 12.46056 -14.2477 10.29605 -16.2984 11.6345 -17.8145 12.7168 -14.7823 10.55229 
-17.2594 9.4482 -18.9011 10.34686 -15.6178 8.54952 -17.8125 9.6610 -19.4694 10.55963 -16.1556 8.762292 
-18.7053 8.3231 -20.4844 9.114754 -16.9261 7.531441 -19.2583 8.5105 -21.0498 9.30219 -17.4669 7.718876 
-20.0728 7.0435 -21.982 7.713459 -18.1636 6.373563 -20.6259 7.2021 -22.5445 7.872079 -18.7072 6.532183 
-21.3520 5.6121 -23.3829 6.145936 -19.3211 5.078333 -21.9051 5.7385 -23.9427 6.272321 -19.8675 5.204717 
-22.5329 4.0330 -24.6761 4.416584 -20.3897 3.649385 -23.0860 4.1238 -25.2334 4.507407 -20.9385 3.740207 
-23.6054 2.3114 -25.8507 2.531201 -21.3602 2.091509 -24.1585 2.3634 -26.4057 2.583252 -21.9112 2.14356 
-24.5596 0.4536 -26.8956 0.496709 -22.2236 0.410426 -25.1127 0.4638 -27.4487 0.506923 -22.7767 0.420641

 I-54 
g) Peening,3-3,Sy (continued) 
72 90 
1.2566371 1.5707963 
1.071732 1.090509 0.909491 1.1038115 1.0878786 0.9121214 From Analyses 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface Mean 
Stress: Sy K(Sy) Stress: Sy K(Sy) Stress: Sy K(Sy) Stress: Sy K(Sy) Stress: Sy K(Sy) Stress: Sy K(Sy) Stress: Sy K(Sy) 
(ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 (ksi) ksi*in^0.5 
-29.4305 0.0000 -32.0942 0 -26.7667 0 -30.2030 0.0000 -32.86 0.00 -27.55 0.00 -27.7030 0 
-24.4046 -9.2513 -26.6134 -10.0887 -22.1958 -8.41401 -25.1771 -9.5283 -27.39 -10.37 -22.96 -8.69 -22.6771 -8.63214 
-19.7411 -11.6562 -21.5279 -12.7111 -17.9544 -10.6012 -20.5137 -12.0051 -22.32 -13.06 -18.71 -10.95 -18.0137 -10.876 
-15.4301 -12.6175 -16.8266 -13.7595 -14.0335 -11.4755 -16.2026 -12.9952 -17.63 -14.14 -14.78 -11.85 -13.7026 -11.773 
-11.4614 -12.7558 -12.4988 -13.9103 -10.4241 -11.6012 -12.2340 -13.1376 -13.31 -14.29 -11.16 -11.98 -9.7340 -11.902 
-7.8251 -12.3438 -8.53337 -13.461 -7.11688 -11.2266 -8.5977 -12.7133 -9.35 -13.83 -7.84 -11.60 -6.0977 -11.5176 
-4.5112 -11.5387 -4.91949 -12.5831 -4.10289 -10.4943 -5.2837 -11.8841 -5.75 -12.93 -4.82 -10.84 -2.7837 -10.7664 
-1.5096 -10.5082 -1.64623 -11.4593 -1.37296 -9.55709 -2.2821 -10.8227 -2.48 -11.77 -2.08 -9.87 0.2179 -9.80485 
1.1897 -9.2674 1.297352 -10.1061 1.081999 -8.42858 0.4171 -9.5448 0.45 -10.38 0.38 -8.71 2.9171 -8.64709 
3.5966 -7.8450 3.922161 -8.55509 3.271105 -7.135 2.8241 -8.0799 3.07 -8.79 2.58 -7.37 5.3241 -7.31997 
5.7213 -6.2825 6.239123 -6.85109 5.203465 -5.71385 4.9488 -6.4705 5.38 -7.04 4.51 -5.90 7.4488 -5.86198 
7.5737 -4.6134 8.25916 -5.03094 6.888188 -4.19583 6.8011 -4.7515 7.40 -5.17 6.20 -4.33 9.3011 -4.30461 
9.1638 -2.8660 9.993192 -3.12544 8.334381 -2.60663 8.3912 -2.9518 9.13 -3.21 7.65 -2.69 10.8912 -2.67421 
10.5055 -1.0897 11.45635 -1.18837 9.55466 -0.99111 9.7330 -1.1224 10.59 -1.22 8.88 -1.02 12.2330 -1.0168 
11.6004 0.7026 12.65031 0.76616 10.55044 0.638982 10.8278 0.7236 11.78 0.79 9.88 0.66 13.3278 0.655547 
12.4631 2.5199 13.59107 2.747938 11.33504 2.291796 11.6905 2.5953 12.72 2.82 10.66 2.37 14.1905 2.35121 
13.1036 4.3450 14.28955 4.738209 11.91757 3.951694 12.3310 4.4750 13.41 4.87 11.25 4.08 14.8310 4.05414 
13.5319 6.1621 14.75667 6.719878 12.30715 5.604418 12.7594 6.3466 13.88 6.90 11.64 5.79 15.2594 5.74971 
13.7581 7.9571 15.00334 8.677238 12.51287 7.236867 12.9856 8.1952 14.13 8.92 11.84 7.48 15.4856 7.42448 
13.7922 9.6445 15.04049 10.51736 12.54386 8.771542 13.0196 9.9331 14.16 10.81 11.88 9.06 15.5196 8.99894 
13.6441 11.0609 14.87905 12.06203 12.40921 10.0598 12.8716 11.3920 14.00 12.39 11.74 10.39 15.3716 10.3206 
13.3240 12.4059 14.52993 13.52879 12.11804 11.28309 12.5514 12.7773 13.65 13.90 11.45 11.65 15.0514 11.5756 
12.8418 13.6679 14.00405 14.90497 11.67946 12.43084 12.0692 14.0770 13.13 15.31 11.01 12.84 14.5692 12.7531 
12.2075 14.8362 13.31234 16.17901 11.10257 13.49339 11.4349 15.2803 12.44 16.62 10.43 13.94 13.9349 13.8432 
11.4311 15.9008 12.46571 17.33991 10.39648 14.46159 10.6586 16.3767 11.60 17.82 9.72 14.94 13.1586 14.8365 
10.5227 16.8522 11.4751 18.37751 9.570298 15.32696 9.7502 17.3567 10.61 18.88 8.89 15.83 12.2502 15.7243 
9.4923 17.7693 10.35141 19.3776 8.633137 16.16103 8.7197 18.3012 9.49 19.91 7.95 16.69 11.2197 16.58 
8.3498 18.5792 9.105575 20.26081 7.594104 16.89764 7.5773 19.1353 8.24 20.82 6.91 17.45 10.0773 17.3357 
7.1054 19.2754 7.748513 21.02002 6.462306 17.53082 6.3329 19.8524 6.89 21.60 5.78 18.11 8.8329 17.9853 
5.7690 19.8525 6.291145 21.64938 5.246852 18.05571 4.9965 20.4468 5.44 22.24 4.56 18.65 7.4965 18.5238 
4.3506 20.3055 4.744392 22.14329 3.956851 18.46763 3.5781 20.9133 3.89 22.75 3.26 19.08 6.0781 18.9464 
2.8603 20.6300 3.119175 22.49718 2.601411 18.76278 2.0878 21.2475 2.27 23.11 1.90 19.38 4.5878 19.2492 
1.3080 21.0416 1.426417 22.94609 1.189641 19.13718 0.5355 21.6715 0.58 23.58 0.49 19.77 3.0355 19.6333 
-0.2962 21.4129 -0.32296 23.35094 -0.26935 19.47482 -1.0687 22.0538 -1.16 23.99 -0.97 20.12 1.4313 19.9797 
-1.9422 21.6711 -2.11804 23.63249 -1.76646 19.70964 -2.7148 22.3197 -2.95 24.28 -2.48 20.36 -0.2148 20.2206 
-3.6202 21.8145 -3.94789 23.78887 -3.29257 19.84006 -4.3928 22.4674 -4.78 24.44 -4.01 20.49 -1.8928 20.3544 
-5.3201 21.8421 -5.8016 23.81902 -4.83857 19.8652 -6.0926 22.4959 -6.63 24.47 -5.56 20.52 -3.5926 20.3802 
-7.0318 21.7537 -7.66825 23.7226 -6.39537 19.78479 -7.8044 22.4048 -8.49 24.37 -7.12 20.44 -5.3044 20.2977 
-8.7508 21.0219 -9.54283 22.92459 -7.95878 19.11924 -9.5233 21.6512 -10.36 23.55 -8.69 19.75 -7.0233 19.6149 
-10.4562 19.5887 -11.4025 21.36164 -9.50979 17.81573 -11.2287 20.1750 -12.22 21.95 -10.24 18.40 -8.7287 18.2776 
-12.1433 17.9635 -13.2424 19.58937 -11.0442 16.33765 -12.9158 18.5012 -14.05 20.13 -11.78 16.88 -10.4158 16.7612 
-13.8022 16.1479 -15.0514 17.60942 -12.553 14.68636 -14.5748 16.6312 -15.86 18.09 -13.29 15.17 -12.0748 15.0671 
-15.4229 14.1446 -16.8188 15.42483 -14.027 12.8644 -16.1954 14.5680 -17.62 15.85 -14.77 13.29 -13.6954 13.1979 
-16.9953 11.9574 -18.5335 13.03968 -15.4571 10.87517 -17.7678 12.3153 -19.33 13.40 -16.21 11.23 -15.2678 11.1571 
-18.5094 9.9291 -20.1847 10.82774 -16.8341 9.030401 -19.2820 10.2263 -20.98 11.12 -17.59 9.33 -16.7820 9.26451 
-19.9553 8.7467 -21.7614 9.538372 -18.1491 7.955059 -20.7278 9.0085 -22.55 9.80 -18.91 8.22 -18.2278 8.16129 
-21.3228 7.4020 -23.2527 8.071951 -19.3929 6.732054 -22.0953 7.6236 -24.04 8.29 -20.15 6.95 -19.5953 6.90658 
-22.6020 5.8978 -24.6477 6.431575 -20.5563 5.363971 -23.3745 6.0743 -25.43 6.61 -21.32 5.54 -20.8745 5.50303 
-23.7829 4.2382 -25.9354 4.62185 -21.6303 3.85465 -24.5554 4.3651 -26.71 4.75 -22.40 3.98 -22.0554 3.95458 
-24.8554 2.4290 -27.1051 2.648841 -22.6058 2.209149 -25.6280 2.5017 -27.88 2.72 -23.38 2.28 -23.1280 2.26642 
-25.8096 0.4767 -28.1456 0.519794 -23.4736 0.433511 -26.5821 0.4909 -28.92 0.53 -24.25 0.45 -24.0821 0.44475

 I-55 
g) Peening,3-3,Sy (continued) 
In Metric Unit 
Unit Conv: 1.0000 in = 25.4000 mm 1.0000 ksi = 6.8948 MPa 1.0000 ksi-in^0.5= 1.0988 MPa-m^0.5 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Depth Stress: Sy K(Sy) Stress: Sy K(Sy) Stress: Sy K(Sy) Stress: Sy K(Sy) Stress: Sy K(Sy) Stress: Sy K(Sy) 
(mm) MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 
0.0000 -191.0055 0.0000 -209.5333 0.0000 -172.4777 0.0000 -191.8491 0.0000 -210.3646 0.0000 -173.3335 0.0000 
0.8001 -156.3533 -9.4854 -171.5198 -10.4055 -141.1868 -8.5653 -157.1969 -9.5336 -172.3682 -10.4537 -142.0257 -8.6135 
1.6002 -124.1999 -11.9510 -136.2475 -13.1103 -112.1524 -10.7918 -125.0436 -12.0117 -137.1117 -13.1710 -112.9755 -10.8525 
2.4003 -94.4763 -12.9367 -103.6406 -14.1916 -85.3120 -11.6818 -95.3199 -13.0024 -104.5193 -14.2573 -86.1205 -11.7475 
3.2004 -67.1133 -13.0784 -73.6234 -14.3471 -60.6032 -11.8098 -67.9569 -13.1449 -74.5155 -14.4135 -61.3983 -11.8763 
4.0005 -42.0419 -12.6560 -46.1201 -13.8837 -37.9638 -11.4284 -42.8856 -12.7203 -47.0245 -13.9480 -38.7466 -11.4927 
4.8006 -19.1932 -11.8306 -21.0549 -12.9782 -17.3314 -10.6830 -20.0368 -11.8907 -21.9706 -13.0383 -18.1030 -10.7431 
5.6007 1.5021 -10.7740 1.6478 -11.8191 1.3564 -9.7289 0.6585 -10.8287 0.7220 -11.8738 0.5949 -9.7836 
6.4008 20.1129 -9.5018 22.0639 -10.4235 18.1619 -8.5801 19.2693 -9.5501 21.1290 -10.4718 17.4096 -8.6284 
7.2009 36.7083 -8.0435 40.2691 -8.8237 33.1476 -7.2633 35.8647 -8.0844 39.3260 -8.8646 32.4033 -7.3041 
8.0010 51.3573 -6.4414 56.3391 -7.0662 46.3756 -5.8166 50.5137 -6.4741 55.3888 -7.0989 45.6386 -5.8493 
8.8011 64.1290 -4.7301 70.3496 -5.1889 57.9084 -4.2713 63.2854 -4.7541 69.3931 -5.2129 57.1777 -4.2953 
9.6012 75.0925 -2.9385 82.3766 -3.2236 67.8084 -2.6535 74.2488 -2.9535 81.4147 -3.2385 67.0830 -2.6684 
10.4038 84.3433 -1.1173 92.5247 -1.2257 76.1619 -1.0089 83.4997 -1.1230 91.5583 -1.2314 75.4410 -1.0146 
11.2039 91.8922 0.7203 100.8058 0.7902 82.9785 0.6505 91.0485 0.7240 99.8357 0.7939 82.2613 0.6541 
12.0040 97.8401 2.5836 107.3308 2.8342 88.3495 2.3330 96.9965 2.5967 106.3577 2.8474 87.6353 2.3461 
12.8041 102.2563 4.4549 112.1753 4.8870 92.3373 4.0227 101.4126 4.4775 111.2001 4.9096 91.6252 4.0454 
13.6042 105.2096 6.3180 115.4151 6.9309 95.0041 5.7052 104.3660 6.3501 114.4384 6.9630 94.2935 5.7373 
14.4043 106.7692 8.1583 117.1260 8.9497 96.4124 7.3670 105.9256 8.1998 116.1486 8.9912 95.7026 7.4084 
15.2044 107.0041 9.8884 117.3837 10.8476 96.6246 8.9292 106.1605 9.9387 116.4061 10.8979 95.9148 8.9795 
16.0045 105.9834 11.3407 116.2639 12.4408 95.7028 10.2407 105.1397 11.3983 115.2869 12.4984 94.9926 10.2983 
16.8046 103.7760 12.7198 113.8425 13.9536 93.7096 11.4859 102.9324 12.7844 112.8665 14.0182 92.9983 11.5506 
17.6047 100.4512 14.0137 110.1951 15.3730 90.7073 12.6543 99.6075 14.0849 109.2208 15.4442 89.9943 12.7255 
18.4048 96.0778 15.2115 105.3975 16.6870 86.7581 13.7360 95.2342 15.2888 104.4253 16.7643 86.0430 13.8133 
19.2049 90.7250 16.3030 99.5255 17.8844 81.9246 14.7216 89.8814 16.3858 98.5559 17.9672 81.2068 14.8044 
20.0050 84.4618 17.2785 92.6548 18.9546 76.2689 15.6025 83.6182 17.3663 91.6883 19.0424 75.5481 15.6903 
20.8051 77.3573 18.2188 84.8611 19.9861 69.8536 16.4516 76.5137 18.3114 83.8981 20.0786 69.1293 16.5441 
21.6052 69.4805 19.0492 76.2202 20.8970 62.7408 17.2014 68.6369 19.1460 75.2611 20.9938 62.0127 17.2982 
22.4053 60.9005 19.7630 66.8079 21.6801 54.9930 17.8460 60.0568 19.8634 65.8530 21.7805 54.2607 17.9464 
23.2054 51.6862 20.3547 56.6999 22.3292 46.6726 18.3803 50.8426 20.4582 55.7495 22.4326 45.9357 18.4837 
24.0055 41.9069 20.8191 45.9719 22.8386 37.8418 18.7996 41.0632 20.9249 45.0263 22.9444 37.1002 18.9054 
24.8056 31.6314 21.1518 34.6997 23.2036 28.5631 19.1001 30.7878 21.2593 33.7592 23.3111 27.8164 19.2076 
25.6057 20.9289 21.5739 22.9591 23.6666 18.8988 19.4812 20.0853 21.6835 22.0238 23.7762 18.1469 19.5908 
26.4058 9.8685 21.9546 10.8257 24.0842 8.9112 19.8249 9.0248 22.0661 9.8958 24.1957 8.1538 19.9365 
27.2059 -1.4809 22.2193 -1.6246 24.3746 -1.3373 20.0640 -2.3246 22.3322 -2.5489 24.4875 -2.1002 20.1769 
28.0060 -13.0502 22.3663 -14.3161 24.5359 -11.7843 20.1967 -13.8938 22.4799 -15.2347 24.6495 -12.5529 20.3104 
28.8061 -24.7703 22.3946 -27.1731 24.5670 -22.3676 20.2223 -25.6140 22.5084 -28.0860 24.6807 -23.1419 20.3361 
29.6062 -36.5722 22.3040 -40.1198 24.4675 -33.0247 20.1405 -37.4158 22.4173 -41.0269 24.5808 -33.8048 20.2538 
30.4089 -48.4243 21.5537 -53.1215 23.6444 -43.7271 19.4630 -49.2679 21.6632 -54.0228 23.7539 -44.5130 19.5725 
31.2090 -60.1823 20.0842 -66.0201 22.0324 -54.3445 18.1360 -61.0259 20.1863 -66.9156 22.1345 -55.1363 18.2381 
32.0091 -71.8147 18.4179 -78.7809 20.2045 -64.8486 16.6314 -72.6584 18.5115 -79.6707 20.2981 -65.6460 16.7249 
32.8092 -83.2525 16.5564 -91.3281 18.1624 -75.1769 14.9504 -84.0961 16.6405 -92.2124 18.2465 -75.9799 15.0345 
33.6093 -94.4266 14.5024 -103.5861 15.9092 -85.2671 13.0957 -95.2702 14.5761 -104.4649 15.9829 -86.0756 13.1693 
34.4094 -105.2680 12.2599 -115.4791 13.4491 -95.0568 11.0707 -106.1116 12.3222 -116.3525 13.5114 -95.8706 11.1330 
35.2095 -115.7075 10.1802 -126.9313 11.1677 -104.4837 9.1927 -116.5511 10.2320 -127.7996 11.2195 -105.3027 9.2445 
36.0096 -125.6762 8.9680 -137.8670 9.8379 -113.4855 8.0981 -126.5199 9.0135 -138.7304 9.8834 -114.3093 8.1436 
36.8097 -135.1050 7.5892 -148.2104 8.3254 -121.9997 6.8531 -135.9487 7.6278 -149.0692 8.3640 -122.8281 6.8916 
37.6098 -143.9249 6.0470 -157.8858 6.6335 -129.9640 5.4604 -144.7686 6.0777 -158.7403 6.6643 -130.7968 5.4911 
38.4099 -152.0668 4.3455 -166.8175 4.7670 -137.3161 3.9239 -152.9104 4.3675 -167.6680 4.7891 -138.1529 3.9460 
39.2100 -159.4616 2.4904 -174.9296 2.7320 -143.9936 2.2489 -160.3053 2.5031 -175.7765 2.7447 -144.8340 2.2615 
40.0101 -166.0404 0.4887 -182.1465 0.5361 -149.9342 0.4413 -166.8840 0.4912 -182.9902 0.5386 -150.7779 0.4438

 I-56 
g) Peening,3-3,Sy (continued) 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Stress: Sy K(Sy) Stress: Sy K(Sy) Stress: Sy K(Sy) Stress: Sy K(Sy) Stress: Sy K(Sy) Stress: Sy K(Sy) 
MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 
-194.2974 0.0000 -212.7781 0.0000 -175.8167 0.0000 -198.1108 0.0000 -216.5392 0.0000 -179.6823 0.0000 
-159.6453 -9.6734 -174.8300 -10.5935 -144.4605 -8.7533 -163.4586 -9.8913 -178.6637 -10.8114 -148.2536 -8.9712 
-127.4919 -12.1880 -139.6184 -13.3472 -115.3654 -11.0287 -131.3052 -12.4624 -143.5194 -13.6217 -119.0911 -11.3032 
-97.7682 -13.1932 -107.0675 -14.4480 -88.4690 -11.9383 -101.5816 -13.4903 -111.0308 -14.7451 -92.1324 -12.2354 
-70.4053 -13.3377 -77.1019 -14.6064 -63.7086 -12.0691 -74.2186 -13.6381 -81.1225 -14.9067 -67.3147 -12.3695 
-45.3339 -12.9070 -49.6459 -14.1346 -41.0219 -11.6793 -49.1472 -13.1976 -53.7190 -14.4253 -44.5755 -11.9700 
-22.4851 -12.0651 -24.6238 -13.2127 -20.3464 -10.9176 -26.2985 -12.3368 -28.7448 -13.4844 -23.8522 -11.1893 
-1.7898 -10.9876 -1.9601 -12.0327 -1.6196 -9.9425 -5.6032 -11.2350 -6.1244 -12.2801 -5.0820 -10.1899 
16.8210 -9.6902 18.4209 -10.6119 15.2210 -8.7685 13.0076 -9.9084 14.2176 -10.8301 11.7976 -8.9867 
33.4164 -8.2030 36.5948 -8.9832 30.2379 -7.4227 29.6030 -8.3877 32.3567 -9.1679 26.8493 -7.6075 
48.0654 -6.5691 52.6371 -7.1939 43.4936 -5.9443 44.2520 -6.7170 48.3684 -7.3419 40.1357 -6.0922 
60.8371 -4.8239 66.6236 -5.2827 55.0505 -4.3650 57.0237 -4.9325 62.3281 -5.3913 51.7193 -4.4737 
71.8005 -2.9968 78.6299 -3.2818 64.9712 -2.7118 67.9872 -3.0643 74.3114 -3.3493 61.6630 -2.7792 
81.0513 -1.1395 88.7606 -1.2478 73.3421 -1.0311 77.2380 -1.1651 84.4227 -1.2735 70.0533 -1.0567 
88.6002 0.7346 97.0275 0.8045 80.1729 0.6648 84.7869 0.7512 92.6738 0.8210 76.8999 0.6813 
94.5482 2.6348 103.5412 2.8854 85.5552 2.3842 90.7348 2.6942 99.1751 2.9448 82.2946 2.4436 
98.9643 4.5432 108.3774 4.9753 89.5513 4.1111 95.1510 4.6455 104.0020 5.0776 86.2999 4.2134 
101.9177 6.4433 111.6116 7.0561 92.2237 5.8304 98.1043 6.5884 107.2301 7.2013 88.9786 5.9755 
103.4773 8.3201 113.3196 9.1115 93.6349 7.5287 99.6639 8.5075 108.9347 9.2988 90.3931 7.7161 
103.7122 10.0845 113.5768 11.0437 93.8475 9.1253 99.8988 10.3116 109.1915 11.2708 90.6061 9.3524 
102.6914 11.5656 112.4590 12.6656 92.9239 10.4655 98.8781 11.8260 108.0758 12.9261 89.6804 10.7260 
100.4841 12.9720 110.0417 14.2058 90.9265 11.7381 96.6707 13.2641 105.6631 14.4979 87.6784 12.0302 
97.1592 14.2915 106.4006 15.6508 87.9179 12.9321 93.3459 14.6133 102.0290 15.9727 84.6628 13.2540 
92.7859 15.5131 101.6113 16.9886 83.9605 14.0376 88.9725 15.8624 97.2488 17.3380 80.6962 14.3869 
87.4331 16.6262 95.7493 18.2076 79.1168 15.0448 83.6197 17.0006 91.3981 18.5820 75.8414 15.4192 
81.1699 17.6211 88.8904 19.2971 73.4494 15.9451 77.3565 18.0179 84.5523 19.6940 70.1608 16.3419 
74.0654 18.5800 81.1101 20.3473 67.0206 16.8128 70.2520 18.9984 76.7869 20.7657 63.7171 17.2312 
66.1886 19.4269 72.4841 21.2747 59.8930 17.5791 62.3752 19.8644 68.1774 21.7122 56.5730 18.0166 
57.6085 20.1548 63.0880 22.0719 52.1290 18.2378 53.7952 20.6087 58.7992 22.5258 48.7911 18.6917 
48.3943 20.7583 52.9973 22.7327 43.7912 18.7839 44.5809 21.2258 48.7279 23.2002 40.4340 19.2513 
38.6149 21.2319 42.2878 23.2514 34.9420 19.2124 34.8016 21.7100 38.0388 23.7295 31.5643 19.6905 
28.3395 21.5712 31.0350 23.6230 25.6439 19.5195 24.5261 22.0570 26.8076 24.1088 22.2447 20.0052 
17.6370 22.0016 19.3145 24.0943 15.9594 19.9089 13.8236 22.4971 15.1095 24.5898 12.5378 20.4044 
6.5765 22.3898 7.2021 24.5195 5.9510 20.2602 2.7632 22.8940 3.0202 25.0237 2.5061 20.7644 
-4.7729 22.6598 -5.2269 24.8151 -4.3189 20.5045 -8.5862 23.1701 -9.3849 25.3254 -7.7875 21.0148 
-16.3422 22.8097 -17.8966 24.9793 -14.7878 20.6402 -20.1555 23.3234 -22.0304 25.4930 -18.2806 21.1538 
-28.0623 22.8386 -30.7314 25.0110 -25.3931 20.6663 -31.8756 23.3530 -34.8407 25.5253 -28.9105 21.1807 
-39.8642 22.7462 -43.6559 24.9097 -36.0725 20.5827 -43.6775 23.2584 -47.7404 25.4219 -39.6146 21.0949 
-51.7162 21.9810 -56.6353 24.0718 -46.7972 19.8903 -55.5296 22.4760 -60.6950 24.5668 -50.3642 20.3853 
-63.4743 20.4824 -69.5117 22.4306 -57.4369 18.5342 -67.2876 20.9437 -73.5468 22.8919 -61.0285 18.9955 
-75.1067 18.7831 -82.2505 20.5697 -67.9629 16.9965 -78.9200 19.2061 -86.2612 20.9926 -71.5788 17.4195 
-86.5445 16.8846 -94.7762 18.4906 -78.3127 15.2786 -90.3578 17.2649 -98.7630 18.8709 -81.9527 15.6589 
-97.7186 14.7899 -107.0131 16.1967 -88.4240 13.3832 -101.5319 15.1230 -110.9765 16.5298 -92.0873 13.7163 
-108.5599 12.5030 -118.8857 13.6922 -98.2342 11.3137 -112.3733 12.7845 -122.8263 13.9738 -101.9202 11.5953 
-118.9995 10.3821 -130.3182 11.3696 -107.6808 9.3946 -122.8128 10.6159 -134.2370 11.6034 -111.3887 9.6284 
-128.9682 9.1458 -141.2351 10.0157 -116.7013 8.2759 -132.7815 9.3517 -145.1330 10.2216 -120.4301 8.4818 
-138.3970 7.7397 -151.5607 8.4759 -125.2333 7.0035 -142.2103 7.9140 -155.4389 8.6502 -128.9818 7.1778 
-147.2169 6.1669 -161.2195 6.7534 -133.2142 5.5803 -151.0302 6.3057 -165.0792 6.8923 -136.9813 5.7192 
-155.3588 4.4316 -170.1358 4.8531 -140.5817 4.0101 -159.1721 4.5314 -173.9784 4.9529 -144.3658 4.1099 
-162.7536 2.5398 -178.2340 2.7814 -147.2732 2.2982 -166.5669 2.5970 -182.0611 2.8386 -151.0727 2.3554 
-169.3323 0.4984 -185.4385 0.5458 -153.2262 0.4510 -173.1457 0.5096 -189.2518 0.5570 -157.0395 0.4622

 I-57 
g) Peening,3-3,Sy (continued) 
Mean Min - Insided Surface Max-Inside Surface Mean Min - Insided Surface Max-Inside Surface 
Stress: Sy K(Sy) Stress: Sy K(Sy) Stress: Sy K(Sy) Stress: Sy K(Sy) Stress: Sy K(Sy) Stress: Sy K(Sy) 
MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 MPa MPa*m^0.5 
-202.9159 0.0000 -221.2816 0.0000 -184.5501 0.0000 -208.2423 0.0000 -226.5424 0.0000 -189.9423 0.0000 
-168.2637 -10.1658 -183.4931 -11.0859 -153.0343 -9.2457 -173.5902 -10.4701 -188.8451 -11.3902 -158.3353 -9.5500 
-136.1103 -12.8083 -148.4296 -13.9676 -123.7911 -11.6490 -141.4368 -13.1917 -153.8661 -14.3509 -129.0076 -12.0324 
-106.3867 -13.8647 -116.0156 -15.1195 -96.7577 -12.6098 -111.7132 -14.2797 -121.5304 -15.5345 -101.8960 -13.0248 
-79.0237 -14.0166 -86.1761 -15.2852 -71.8713 -12.7479 -84.3502 -14.4361 -91.7628 -15.7047 -76.9376 -13.1675 
-53.9523 -13.5639 -58.8355 -14.7915 -49.0692 -12.3362 -59.2788 -13.9699 -64.4882 -15.1975 -54.0695 -12.7422 
-31.1036 -12.6792 -33.9187 -13.8268 -28.2884 -11.5316 -36.4300 -13.0587 -39.6315 -14.2063 -33.2286 -11.9111 
-10.4083 -11.5468 -11.3503 -12.5919 -9.4662 -10.5017 -15.7348 -11.8925 -17.1175 -12.9375 -14.3520 -10.8474 
8.2025 -10.1834 8.9449 -11.1051 7.4601 -9.2617 2.8760 -10.4882 3.1288 -11.4099 2.6233 -9.5665 
24.7979 -8.6205 27.0423 -9.4007 22.5535 -7.8402 19.4714 -8.8785 21.1825 -9.6587 17.7603 -8.0983 
39.4469 -6.9034 43.0172 -7.5283 35.8766 -6.2786 34.1204 -7.1101 37.1189 -7.7349 31.1220 -6.4853 
52.2186 -5.0694 56.9449 -5.5282 47.4924 -4.6106 46.8921 -5.2211 51.0130 -5.6800 42.7713 -4.7623 
63.1821 -3.1493 68.9006 -3.4344 57.4635 -2.8643 57.8556 -3.2436 62.9399 -3.5286 52.7713 -2.9585 
72.4329 -1.1974 78.9887 -1.3058 65.8771 -1.0891 67.1064 -1.2333 73.0036 -1.3417 61.2092 -1.1249 
79.9818 0.7720 87.2208 0.8419 72.7427 0.7021 74.6553 0.7951 81.2159 0.8650 68.0947 0.7252 
85.9297 2.7689 93.7072 3.0196 78.1523 2.5183 80.6032 2.8518 87.6865 3.1024 73.5199 2.6012 
90.3459 4.7744 98.5230 5.2065 82.1688 4.3423 85.0194 4.9173 92.4908 5.3495 77.5480 4.4852 
93.2992 6.7712 101.7436 7.3841 84.8548 6.1584 87.9727 6.9739 95.7036 7.5868 80.2418 6.3611 
94.8588 8.7436 103.4444 9.5349 86.2732 7.9522 89.5323 9.0053 97.4003 9.7966 81.6643 8.2139 
95.0937 10.5977 103.7005 11.5569 86.4869 9.6385 89.7672 10.9150 97.6558 11.8741 81.8786 9.9558 
94.0730 12.1542 102.5874 13.2543 85.5585 11.0541 88.7465 12.5180 96.5454 13.6181 80.9476 11.4179 
91.8656 13.6322 100.1803 14.8660 83.5510 12.3983 86.5392 14.0402 94.1441 15.2741 78.9342 12.8064 
88.5408 15.0189 96.5545 16.3782 80.5270 13.6595 83.2143 15.4684 90.5270 16.8278 75.9015 14.1091 
84.1674 16.3027 91.7853 17.7782 76.5495 14.8271 78.8409 16.7906 85.7694 18.2662 71.9125 15.3151 
78.8146 17.4724 85.9481 19.0538 71.6812 15.8910 73.4881 17.9954 79.9462 19.5768 67.0301 16.4140 
72.5514 18.5180 79.1180 20.1940 65.9849 16.8419 67.2250 19.0722 73.1326 20.7483 61.3173 17.3962 
65.4469 19.5257 71.3705 21.2929 59.5234 17.7584 60.1204 20.1101 65.4037 21.8774 54.8371 18.3429 
57.5701 20.4156 62.7807 22.2635 52.3595 18.5678 52.2436 21.0267 56.8347 22.8745 47.6525 19.1789 
48.9901 21.1807 53.4241 23.0977 44.5560 19.2636 43.6636 21.8146 47.5007 23.7317 39.8265 19.8976 
39.7758 21.8148 43.3759 23.7893 36.1758 19.8404 34.4493 22.4678 37.4767 24.4422 31.4220 20.4934 
29.9965 22.3125 32.7114 24.3320 27.2815 20.2930 24.6700 22.9804 26.8379 24.9999 22.5020 20.9609 
19.7210 22.6691 21.5060 24.7209 17.9361 20.6174 14.3945 23.3477 15.6595 25.3994 13.1296 21.2959 
9.0185 23.1215 9.8348 25.2142 8.2023 21.0288 3.6920 23.8135 4.0165 25.9062 3.3676 21.7208 
-2.0419 23.5294 -2.2267 25.6590 -1.8571 21.3998 -7.3684 24.2337 -8.0159 26.3633 -6.7209 22.1041 
-13.3913 23.8131 -14.6034 25.9684 -12.1793 21.6578 -18.7178 24.5259 -20.3627 26.6812 -17.0729 22.3706 
-24.9606 23.9707 -27.2198 26.1402 -22.7014 21.8011 -30.2871 24.6882 -32.9487 26.8577 -27.6255 22.5186 
-36.6807 24.0011 -40.0007 26.1734 -33.3608 21.8287 -42.0072 24.7195 -45.6987 26.8918 -38.3157 22.5471 
-48.4826 23.9039 -52.8707 26.0674 -44.0945 21.7404 -53.8091 24.6194 -58.5378 26.7829 -49.0804 22.4559 
-60.3347 23.0998 -65.7955 25.1905 -54.8739 21.0090 -65.6612 23.7912 -71.4314 25.8820 -59.8910 21.7005 
-72.0927 21.5249 -78.6177 23.4731 -65.5677 19.5767 -77.4192 22.1692 -84.2227 24.1174 -70.6157 20.2210 
-83.7251 19.7391 -91.3030 21.5256 -76.1472 17.9525 -89.0516 20.3299 -96.8774 22.1165 -81.2259 18.5434 
-95.1629 17.7440 -103.7760 19.3500 -86.5498 16.1380 -100.4894 18.2751 -109.3203 19.8811 -91.6585 16.6691 
-106.3370 15.5427 -115.9615 16.9495 -96.7125 14.1360 -111.6635 16.0079 -121.4763 17.4147 -101.8507 14.6012 
-117.1784 13.1393 -127.7841 14.3286 -106.5727 11.9501 -122.5048 13.5326 -133.2704 14.7218 -111.7393 12.3434 
-127.6179 10.9105 -139.1685 11.8980 -116.0673 9.9230 -132.9444 11.2371 -144.6274 12.2246 -121.2614 10.2496 
-137.5866 9.6113 -150.0395 10.4812 -125.1338 8.7414 -142.9131 9.8990 -155.4721 10.7689 -130.3541 9.0290 
-147.0154 8.1336 -160.3217 8.8698 -133.7092 7.3975 -152.3419 8.3771 -165.7295 9.1133 -138.9543 7.6409 
-155.8353 6.4807 -169.9398 7.0673 -141.7308 5.8942 -161.1618 6.6747 -175.3245 7.2613 -146.9991 6.0881 
-163.9772 4.6572 -178.8186 5.0787 -149.1358 4.2357 -169.3037 4.7966 -184.1819 5.2181 -154.4255 4.3751 
-171.3720 2.6691 -186.8828 2.9107 -155.8613 2.4275 -176.6985 2.7490 -192.2265 2.9906 -161.1705 2.5074 
-177.9508 0.5238 -194.0569 0.5712 -161.8446 0.4764 -183.2773 0.5394 -199.3834 0.5868 -167.1711 0.4920

 I-58 
h) Peening,3-3,SyPlt 
Peening, Middle Lid, Crack Originated From Outside Surface, 
Section 3-3, Sy at 0 Deg. 
-250 
-200 
-150 
-100 
-50
0 
50 
100 
150 
0 5 10 15 20 25 30 35 40 
Distance From Outside Surface (mm) 
Axial Stress (MPa) 
Mean 
Min,Inside Surface 
Max,Inside Surface

 I-59 
i) Peening,3-3,KSyPlt 
Peening, Middle Lid, Crack Originated From Outside Surface, 
Section 3-3, Sy, at 0 Deg 
-20 
-15 
-10 
-5
0
5 
10 
15 
20 
25 
30
0 2 4 6 8 10 12 14 16 18 20 
Distance From Outside Surface (mm) 
K (MPa-m^0.5) 
Mean 
Min,Inside Surface 
Max,Inside Surface

 I-60 
The analysis for the inner lid of the outer barrier of the improved WP design was based on the 
following assumptions: 
a) The outer lid in the original WP design model was cut in half to simulate the inner lid of the 
outer barrier of the improved WP design. The thickness of the lid in the model is 0.492 in 
(12.5 mm) compared to the actual middle lid thickness of 10 mm. 
b) Two weld segments were used for the weld in the inner lid. 
c) Welding parameters remains unchanged. 
d) Residual stress distribution in the butt weld is used as the representative residual stress 
distribution for the fillet weld. 
e) Crack geometric factor from single edge crack plate to full circumferential crack in the plate 
for the CRM-21-PWR outer lid is assumed to be applicable for the middle lid fillet weld. 
Various stress distributions were presented for three critical sections shown in Figure AI-1. The 
stress component Sn along section 1-1 is a combination of radial and longitudinal stresses and is 
perpendicular to Section 1-1. Section 2-2 is defined based on hoop stress. Section 3-3 is selected 
based on the longitudinal stress in the cylindrical wall. 
The residual stresses were calculated based on the peening residual stress of 40 ksi to a depth of 
0.06 inch (1.5 mm) and linearly interpolated from 40 ksi to the existing residual stress at 0.123 
inch (3.12 mm). 
For fracture mechanics evaluation, single edge crack plate with geometric correction factor was 
used for Section 1-1. Elliptical crack in an .infinite plate with a/t=0.1was used for Section 2-2. 
Full circumferential crack was use for Section 3-3.

 I-61 
DTN: LL000319805924.143 
Figure AI-1. Sections For Output of Stresses and Stress Intensity Factors