ASME Section VIII div 2 2010. ASME Boiler and Pressure Vessel Code. Alternative Rules
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2010 SECTION VIII, DIVISION 2
5-119
Table 5.E.12 – Stress Factor
y
K
Coefficients – Triangular Hole Pattern
*
μ
1
C
2
C
3
C
4
C
5
C
0.05 1.03339E+00 0.00000E+00 -2.84109E-03 0.00000E+00 4.19314E-06
0.1 1.07512E+00 0.00000E+00 -2.27215E-03 0.00000E+00 3.65504E-06
0.15 1.10022E+00 0.00000E+00 -1.22107E-03 0.00000E+00 2.78469E-06
0.2 1.11688E+00 -8.46125E-02 2.79641E-03 -2.96440E-05 -2.88860E-08
0.25 1.16107E+00 -5.62139E-02 1.52480E-03 -5.12960E-06 -2.84200E-07
0.3 1.23266E+00 -7.01751E-02 2.10035E-03 -2.92840E-05 1.38335E-07
0.333 1.29302E+00 0.00000E+00 9.21649E-04 0.00000E+00 1.47528E-07
0.4 1.44919E+00 -5.25533E-02 1.13847E-03 -1.51710E-05 7.22991E-08
0.5 1.71400E+00 -2.27180E-05 -2.32310E-04 5.53814E-07 -2.02130E-07
0.6 1.98420E+00 2.88144E-04 -6.45880E-04 9.50408E-06 -5.54150E-07
0.7 2.24001E+00 -2.21010E-04 -7.35030E-04 -1.06590E-05 7.63943E-07
0.8 2.47998E+00 -9.56630E-06 -9.88900E-04 2.31615E-07 1.03079E-07
0.9 2.72430E+00 -6.11640E-05 -1.11908E-03 3.82662E-06 -2.21980E-07
1 3.00000E+00 6.01553E-04 -1.40134E-03 2.02817E-05 -1.00490E-06
*
μ
6
C
7
C
8
C
9
C
10
C
0.05 0.00000E+00 -1.64540E-09 0.00000E+00 2.29250E-13 0.00000E+00
0.1 0.00000E+00 -1.39530E-09 0.00000E+00 1.83217E-13 0.00000E+00
0.15 0.00000E+00 -1.06820E-09 0.00000E+00 1.44899E-13 0.00000E+00
0.2 9.69984E-10 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.25 2.10463E-09 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.3 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.333 0.00000E+00 -1.56830E-10 0.00000E+00 1.06849E-14 0.00000E+00
0.4 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.5 4.62233E-09 -1.14270E-10 2.12833E-12 -1.80180E-14 5.56084E-17
0.6 1.65435E-08 -2.97480E-10 3.50182E-12 -2.37960E-14 7.59107E-17
0.7 -2.78200E-08 6.69142E-10 -9.94040E-12 8.96030E-14 -4.52210E-16
0.8 -1.72350E-09 7.31083E-11 -1.64730E-12 1.93694E-14 -1.18190E-16
0.9 1.52399E-08 -4.17110E-10 6.84700E-12 -6.81690E-14 3.74951E-16
1 3.55493E-08 -6.67360E-10 7.22950E-12 -4.25910E-14 1.05163E-16
*
μ
11
C
12
C
13
C
14
C
15
C
0.05 2.03746E-18 0.00000E+00 -1.02414E-03 0.00000E+00 6.61817E-07
0.05 -1.10020E-17 0.00000E+00 -1.30100E-04 0.00000E+00 1.62821E-07
0.1 -8.94190E-18 0.00000E+00 -4.43300E-04 0.00000E+00 5.47099E-07
0.15 -1.02870E-17 0.00000E+00 9.13766E-05 0.00000E+00 1.17503E-07
0.2 0.00000E+00 -7.50744E-02 2.84658E-03 -5.41970E-05 5.06334E-07
0.25 0.00000E+00 -4.84213E-02 1.54856E-03 -2.82640E-05 2.81005E-07
0.3 0.00000E+00 -5.72395E-02 1.69354E-03 -2.71490E-05 2.33083E-07
0.333 0.00000E+00 0.00000E+00 5.88781E-04 0.00000E+00 -2.31450E-08
0.4 0.00000E+00 -3.63267E-02 7.41010E-04 -8.51480E-06 5.71068E-08
0.5 -7.05120E-21 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.6 -6.43060E-20 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.7 9.79922E-19 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.8 2.94832E-19 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.9 -8.72370E-19 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
1.0 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
2010 SECTION VIII, DIVISION 2
5-120
Table 5.E.12 – Stress Factor
y
K Coefficients – Triangular Hole Pattern
*
μ
16
C
17
C
18
C
19
C
0.05 0.00000E+00 -1.12070E-10 2.48827E-14 -1.26920E-18
0.1 0.00000E+00 -2.01280E-10 3.33735E-14 -1.26370E-18
0.15 0.00000E+00 2.78911E-11 -1.41260E-14 3.28174E-18
0.2 -1.68980E-09 0.00000E+00 0.00000E+00 0.00000E+00
0.25 -1.01320E-09 0.00000E+00 0.00000E+00 0.00000E+00
0.3 -8.14480E-10 0.00000E+00 0.00000E+00 0.00000E+00
0.333 0.00000E+00 2.63945E-11 -7.08690E-16 0.00000E+00
0.4 -1.57550E-10 0.00000E+00 0.00000E+00 0.00000E+00
0.5 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.6 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.7 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.8 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.9 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
1 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
Notes:
1.
2345678 9 10
1234567891011
23456810
12 13 14 15 16 17 18 19
1
y
CCCCCCCCCC C
K
CC C C C C C C
θ
θθθθθθθ θ θ
θθ θ θ θ θ θ θ
+++++++++ +
=
++ + + + + + +
2. See Figure 5.E.4 for definition of
y
K
and
θ
(
θ
is in Degrees, 090
θ
≤
≤ )
3.
Valid range is 0.1 1.0
μ
∗
≤≤, data for 0.05
μ
∗
= is provided for information only.
标准分享网 www.bzfxw.com 免费下载
2010 SECTION VIII, DIVISION 2
5-121
Table 5.E.13 – Stress Factor
x
y
K
Coefficients – Triangular Hole Pattern
*
μ
1
C
2
C
3
C
4
C
5
C
0.05 -7.39914E-03 -1.08535E+00 8.22248E-02 -2.38787E-03 3.01315E-05
0.1 1.01945E-03 -5.69877E-01 4.14104E-02 -1.17352E-03 1.45770E-05
0.15 6.42492E-04 -3.76414E-01 2.49867E-02 -6.82750E-04 8.40611E-06
0.2 2.06985E-04 -2.82692E-01 3.19868E-03 -1.11430E-04 3.35540E-05
0.25 8.93706E-05 -2.26878E-01 1.27974E-03 2.90909E-05 1.42069E-05
0.3 4.18418E-05 -1.91445E-01 6.07889E-04 4.80215E-05 7.84724E-06
0.333 -6.40560E-06 -1.73543E-01 5.82276E-03 -6.51600E-05 2.43193E-07
0.4 3.27439E-06 -1.49979E-01 3.96703E-03 -2.72410E-05 -6.26590E-08
0.5 9.56664E-07 -1.27747E-01 4.80727E-05 4.22320E-05 5.50887E-07
0.6 2.03447E-06 -1.15912E-01 -9.13650E-06 3.52216E-05 -3.00780E-08
0.7 -5.55990E-06 -1.13285E-01 8.09445E-05 1.53690E-05 8.34663E-07
0.8 1.24527E-05 -1.17560E-01 3.80773E-05 2.14282E-05 1.42560E-07
0.9 5.89104E-06 -1.26273E-01 -1.97790E-04 4.88674E-05 -1.39820E-06
1 -5.06060E-06 -1.39930E-01 7.41931E-05 2.11002E-05 3.89961E-07
*
μ
6
C
7
C
8
C
9
C
10
C
0.05 -1.36240E-07 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.1 -6.52070E-08 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.15 -3.76500E-08 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.2 -1.81580E-06 4.43342E-08 -5.67960E-10 3.77794E-12 -1.10280E-14
0.25 -8.15470E-07 1.95441E-08 -2.39950E-10 1.46392E-12 -3.30050E-15
0.3 -4.62740E-07 1.13561E-08 -1.49140E-10 1.05550E-12 -3.56840E-15
0.333 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.4 9.03506E-10 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.5 -3.69530E-08 7.98203E-10 -1.17410E-11 1.14039E-13 -6.19170E-16
0.6 -4.53810E-09 8.45235E-12 2.94347E-13 3.60809E-16 -2.58250E-17
0.7 -3.67350E-08 8.44596E-10 -1.27320E-11 1.19515E-13 -6.25560E-16
0.8 -4.81590E-09 2.63934E-11 2.41904E-13 -5.36000E-15 3.73993E-17
0.9 4.84996E-08 -1.11690E-09 1.57464E-11 -1.35440E-13 6.54802E-16
1 -1.46850E-08 2.79200E-10 -3.87640E-12 3.48700E-14 -1.78540E-16
*
μ
11
C
12
C
13
C
14
C
15
C
0.05 0.00000E+00 -6.11957E-02 4.96171E-03 -1.55160E-04 1.81866E-06
0.1 0.00000E+00 -5.41190E-02 2.12818E-03 -4.49070E-05 4.21399E-07
0.15 0.00000E+00 -5.41630E-02 1.83445E-03 -2.83810E-05 1.56135E-07
0.2 6.17870E-18 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.25 -1.74160E-18 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.3 3.78562E-18 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.333 0.00000E+00 -3.32979E-02 9.89014E-04 -2.00760E-05 2.13657E-07
0.4 0.00000E+00 -2.63120E-02 6.77611E-04 -1.18360E-05 1.19749E-07
0.5 1.39801E-18 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.6 9.98442E-20 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.7 1.39E-18 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.8 -9.40150E-20 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.9 -1.36400E-18 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
1 3.96745E-19 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
2010 SECTION VIII, DIVISION 2
5-122
Table 5.E.13 – Stress Factor
x
y
K Coefficients – Triangular Hole Pattern
*
μ
16
C
0.05 -6.24160E-09
0.1 -9.84060E-10
0.15 2.71970E-10
0.2 0.00000E+00
0.25 0.00000E+00
0.3 0.00000E+00
0.333 -8.79980E-10
0.4 -4.63550E-10
0.5 0.00000E+00
0.6 0.00000E+00
0.7 0.00000E+00
0.8 0.00000E+00
0.9 0.00000E+00
1 0.00000E+00
Notes:
1.
2345678 9 10
1234567891011
2345
12 13 14 15 16
1
xy
CCCCCCCCCC C
K
CC C C C
θ
θθθθθθθ θ θ
θθ θ θ θ
+++++++++ +
=
++ + + +
2. See Figure 5.E.4 for definition of
x
y
K
and
θ
(
θ
is in Degrees, 090
θ
≤
≤ )
3.
Valid range is 0.1 1.0
μ
∗
≤≤, data for 0.05
μ
∗
= is provided for information only.
标准分享网 www.bzfxw.com 免费下载
2010 SECTION VIII, DIVISION 2
5-123
Table 5.E.14 – Stress Factor
x
z
K Coefficients – Triangular Hole Pattern
*
μ
1
C
2
C
3
C
4
C
5
C
0.05 -9.29310E-06 -2.40230E-05 5.42804E-06 -1.72080E-06 3.22669E-08
0.1 -9.93840E-06 -8.18720E-04 1.65045E-05 -4.11550E-06 8.28294E-08
0.15 -6.53010E-06 -3.54095E-03 1.29674E-04 -1.15250E-05 2.09898E-07
0.2 -3.61560E-06 -7.06114E-03 2.25220E-04 -1.50590E-05 2.53461E-07
0.25 2.74788E-06 -1.06818E-02 -8.15910E-06 -6.69010E-06 -1.84370E-07
0.3 1.04406E-06 -1.36716E-02 -4.17830E-05 -2.20820E-07 -3.72820E-07
0.333 -1.38930E-06 -1.55881E-02 5.74404E-05 2.27610E-06 -1.01860E-08
0.4 3.13558E-06 -1.85694E-02 1.62032E-05 -3.46980E-06 9.27417E-08
0.5 -3.16530E-06 -2.18793E-02 2.88419E-05 -3.40110E-06 2.55929E-07
0.6 5.79860E-06 -2.42588E-02 -9.32380E-06 3.04863E-06 -1.99940E-07
0.7 9.28851E-06 -2.60522E-02 -1.68180E-04 2.26662E-05 -1.42040E-06
0.8 -2.46430E-06 -2.92418E-02 8.80912E-05 -8.59660E-06 5.62546E-07
0.9 -9.50950E-07 -3.19965E-02 9.74574E-05 -9.48760E-06 6.50771E-07
1 7.19047E-05 -3.65095E-02 5.74262E-04 -6.81290E-05 4.06484E-06
*
μ
6
C
7
C
8
C
9
C
10
C
0.05 -1.69180E-10 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.1 -4.76560E-10 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.15 -1.18870E-09 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.2 -1.43010E-09 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.25 1.57697E-08 -4.29970E-10 7.54160E-12 -8.49970E-14 5.28050E-16
0.3 1.85814E-08 -4.27470E-10 6.37333E-12 -6.30240E-14 3.60467E-16
0.333 -3.88610E-11 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.4 -1.95120E-09 6.35820E-11 -1.12390E-12 9.39092E-15 -3.50260E-17
0.5 -1.10830E-08 3.19647E-10 -5.61770E-12 5.80545E-14 -3.26310E-16
0.6 1.00071E-08 -2.81100E-10 4.70851E-12 -4.66620E-14 2.51901E-16
0.7 5.53414E-08 -1.32840E-09 1.98654E-11 -1.80260E-13 9.07814E-16
0.8 -1.75270E-08 3.17054E-10 -3.27550E-12 1.70610E-14 -2.46830E-17
0.9 -2.27660E-08 5.02323E-10 -7.09120E-12 6.20570E-14 -3.06570E-16
1 -1.31660E-07 2.53689E-09 -2.94940E-11 1.99428E-13 -6.98860E-16
*
μ
11
C
12
C
13
C
14
C
15
C
0.05 0.00000E+00 -8.88523E-02 3.57223E-03 -7.14600E-05 6.88731E-07
0.1 0.00000E+00 -6.91433E-02 2.51059E-03 -4.68590E-05 4.27074E-07
0.15 0.00000E+00 -4.77362E-02 1.62971E-03 -2.86370E-05 2.42889E-07
0.2 0.00000E+00 -3.67894E-02 1.24346E-03 -2.08690E-05 1.72584E-07
0.25 -1.34680E-18 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.3 -8.76600E-19 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.333 0.00000E+00 -2.49274E-03 -6.12320E-04 1.55087E-05 -1.58170E-07
0.4 4.17428E-20 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.5 7.71866E-19 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.6 -5.70300E-19 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.7 -1.94600E-18 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.8 -7.44600E-20 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.9 6.53218E-19 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
1 9.11009E-19 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
2010 SECTION VIII, DIVISION 2
5-124
Table 5.E.14 – Stress Factor
x
z
K Coefficients – Triangular Hole Pattern
*
μ
16
C
0.05 -2.49920E-09
0.1 -1.42360E-09
0.15 -6.24940E-10
0.2 -3.32030E-10
0.25 0.00000E+00
0.3 0.00000E+00
0.333 5.79203E-10
0.4 0.00000E+00
0.5 0.00000E+00
0.6 0.00000E+00
0.7 0.00000E+00
0.8 0.00000E+00
0.9 0.00000E+00
1 0.00000E+00
Notes:
1.
2345678 9 10
1234567891011
2345
12 13 14 15 16
1
xz
CCCCCCCCCC C
K
CC C C C
θ
θθθθθθθ θ θ
θθ θ θ θ
+++++++++ +
=
++ + + +
2. See Figure 5.E.4 for definition of
x
z
K and
θ
(
θ
is in Degrees,
090
θ
≤
≤
)
3.
Valid range is 0.1 1.0
μ
∗
≤≤, data for 0.05
μ
∗
= is provided for information only.
标准分享网 www.bzfxw.com 免费下载
2010 SECTION VIII, DIVISION 2
5-125
Table 5.E.15 – Stress Factor
yz
K
Coefficients – Triangular Hole Pattern
*
μ
1
C
2
C
3
C
4
C
5
C
0.05 1.01759E+00 -3.05131E-02 -2.78780E-04 2.03038E-05 -1.95910E-07
0.1 1.03660E+00 0.00000E+00 -4.75940E-04 0.00000E+00 1.16120E-07
0.15 1.05819E+00 0.00000E+00 -2.90970E-04 0.00000E+00 9.78866E-08
0.2 1.08253E+00 0.00000E+00 -2.23930E-04 0.00000E+00 1.07827E-07
0.25 1.10950E+00 4.96099E-05 -5.02180E-04 -1.98140E-06 5.75502E-07
0.3 1.14000E+00 -2.73920E-05 -3.62530E-04 -6.23200E-06 6.95315E-07
0.333 1.16250E+00 -2.10030E-04 -2.75170E-04 -8.95280E-06 7.13417E-07
0.4 1.21360E+00 -2.84640E-04 -1.95400E-04 -9.99600E-06 7.08864E-07
0.5 1.30250E+00 -1.43900E-04 -2.00590E-04 -2.55510E-06 1.10218E-07
0.6 1.40640E+00 1.24641E-04 -2.51630E-04 2.42722E-06 -8.75060E-08
0.7 1.52461E+00 3.88729E-05 -2.36130E-04 9.04305E-07 -1.24720E-07
0.8 1.66000E+00 -3.42500E-04 -1.40620E-04 -1.24210E-05 6.95292E-07
0.9 1.81620E+00 2.57972E-04 -3.23520E-04 5.03588E-06 -3.24240E-07
1 1.99998E+00 -4.08690E-04 -1.78600E-04 -1.48060E-05 9.30412E-07
*
μ
6
C
7
C
8
C
9
C
10
C
0.05 3.45278E-10 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.1 0.00000E+00 6.24853E-11 0.00000E+00 -1.80420E-14 0.00000E+00
0.15 0.00000E+00 3.81940E-11 0.00000E+00 -8.05400E-15 0.00000E+00
0.2 0.00000E+00 9.71070E-12 0.00000E+00 -2.67240E-15 0.00000E+00
0.25 -1.94130E-08 4.82249E-10 -8.70230E-12 9.41449E-14 -5.33350E-16
0.3 -2.45770E-08 6.01127E-10 -1.00750E-11 1.02627E-13 -5.62150E-16
0.333 -2.28300E-08 4.99708E-10 -7.60450E-12 7.21191E-14 -3.73300E-16
0.4 -2.43360E-08 5.54380E-10 -8.38470E-12 7.82984E-14 -4.03120E-16
0.5 -2.17130E-10 -6.35380E-11 1.67167E-12 -2.03770E-14 1.26185E-16
0.6 1.65579E-09 8.28289E-12 -8.55000E-13 1.42028E-14 -1.02380E-16
0.7 7.97510E-09 -2.53680E-10 4.60393E-12 -4.82230E-14 2.71723E-16
0.8 -2.18310E-08 4.14476E-10 -4.70290E-12 3.00729E-14 -9.16970E-17
0.9 1.33468E-08 -3.36510E-10 5.33822E-12 -5.18350E-14 2.81329E-16
1 -3.45480E-08 8.17163E-10 -1.23080E-11 1.14381E-13 -5.97320E-16
*
μ
11
C
12
C
13
C
14
C
15
C
0.05 0.00000E+00 -3.04984E-02 2.88546E-03 -1.07790E-04 1.51472E-06
0.1 1.13734E-18 0.00000E+00 9.03802E-04 0.00000E+00 -5.17010E-07
0.15 2.65237E-19 0.00000E+00 5.85740E-04 0.00000E+00 -1.71680E-07
0.2 0.00000E+00 0.00000E+00 3.96930E-04 0.00000E+00 -5.73760E-08
0.25 1.22126E-18 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.3 1.27005E-18 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.333 8.01462E-19 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.4 8.72462E-19 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.5 -3.18710E-19 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.6 2.82046E-19 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.7 -6.38360E-19 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.8 7.44602E-20 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.9 -6.53220E-19 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
1 1.33972E-18 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
2010 SECTION VIII, DIVISION 2
5-126
Table 5.E.15 – Stress Factor
yz
K Coefficients – Triangular Hole Pattern
*
μ
16
C
17
C
18
C
19
C
0.05 -6.83930E-09 0.00000E+00 0.00000E+00 0.00000E+00
0.1 0.00000E+00 1.70274E-10 -1.81320E-14 4.14493E-19
0.15 0.00000E+00 7.75559E-11 -6.99310E-15 3.38942E-19
0.2 0.00000E+00 3.85892E-11 -3.13170E-15 2.30988E-19
0.25 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.3 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.333 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.4 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.5 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.6 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.7 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.8 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.9 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
1 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
Notes:
1.
2345678 9 10
1234567891011
23456810
12 13 14 15 16 17 18 19
1
yz
CCCCCCCCCC C
K
CC C C C C C C
θ
θθθθθθθ θ θ
θθ θ θ θ θ θ θ
+++++++++ +
=
++ + + + + + +
2. See Figure 5.E.4 for definition of
y
K
and
θ
(
θ
is in Degrees, 090
θ
≤
≤ )
3.
Valid range is 0.1 1.0
μ
∗
≤≤, data for 0.05
μ
∗
= is provided for information only.
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2010 SECTION VIII, DIVISION 2
5-127
Table 5.E.16 – Stress Factors
x
K And
y
K Coefficients – Rectangular Hole Pattern
*
μ
1
C
2
C
3
C
4
C
5
C
0.05 -1.47580E-05 1.87249E-03 -7.61080E-04 1.08786E-04 -7.15640E-06
0.1 9.61530E-05 1.49451E-03 -6.65180E-04 1.10521E-04 -8.80780E-06
0.15 4.52677E-04 7.25376E-04 -3.88940E-04 6.22683E-05 -5.84370E-06
0.2 -4.59662E-03 4.14890E-04 -3.50340E-04 3.59267E-05 -3.37600E-06
0.25 -2.32447E-02 1.14393E-04 -2.62490E-04 1.07287E-05 -9.18750E-07
0.3 -5.81960E-02 9.31334E-05 -2.19360E-04 6.95148E-06 -2.82680E-07
0.4 -1.67582E-01 0.00000E+00 7.67000E-06 0.00000E+00 3.12582E-07
0.5 -3.04997E-01 2.44227E-04 2.90749E-04 1.03388E-05 -6.09000E-07
0.6 -4.51190E-01 1.82289E-04 5.63428E-04 5.55595E-06 -3.11900E-07
0.7 -5.99893E-01 -1.25650E-04 7.97795E-04 3.53441E-06 -4.01310E-07
0.8 -7.47205E-01 4.48376E-04 8.14352E-04 1.59400E-05 -1.01130E-06
0.9 -8.84697E-01 -5.33590E-05 1.07553E-03 5.57335E-06 -6.58380E-07
1 -1.00000E+00 -6.01550E-04 1.40134E-03 -2.02820E-05 1.00488E-06
*
μ
6
C
7
C
8
C
9
C
10
C
0.05 2.33550E-07 -3.74710E-09 2.27673E-11 1.04903E-13 -2.01210E-15
0.1 3.52872E-07 -7.55790E-09 8.91862E-11 -5.51610E-13 1.43371E-15
0.15 2.70724E-07 -6.52480E-09 8.77846E-11 -6.62150E-13 2.58130E-15
0.2 1.75074E-07 -4.56500E-09 6.55342E-11 -5.31400E-13 2.28801E-15
0.25 6.90285E-08 -2.06050E-09 3.07767E-11 -2.48780E-13 1.04292E-15
0.3 3.61104E-08 -1.24330E-09 1.96093E-11 -1.63430E-13 7.05734E-16
0.4 0.00000E+00 -2.94550E-11 0.00000E+00 0.00000E+00 0.00000E+00
0.5 2.93634E-08 -8.08080E-10 1.21405E-11 -1.02700E-13 4.65426E-16
0.6 9.48432E-09 -1.97890E-10 2.10909E-12 -9.14970E-15 -5.90480E-18
0.7 1.46249E-08 -3.61090E-10 5.25001E-12 -4.39820E-14 1.97926E-16
0.8 3.05689E-08 -6.27430E-10 8.21919E-12 -6.62010E-14 3.01974E-16
0.9 2.64004E-08 -7.20270E-10 1.19106E-11 -1.16290E-13 6.21431E-16
1 -3.55490E-08 6.67355E-10 -7.22950E-12 4.25909E-14 -1.05160E-16
*
μ
11
C
12
C
13
C
14
C
15
C
0.05 7.12847E-18 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.1 -2.92300E-19 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.15 -3.93740E-18 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.2 -4.06880E-18 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.25 -1.77570E-18 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.3 -1.25400E-18 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.4 0.00000E+00 3.66644E-04 1.39889E-08 4.71280E-12 -9.52780E-16
0.5 -8.85620E-19 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.6 1.17895E-19 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.7 -3.69860E-19 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.8 -6.00950E-19 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
0.9 -1.40370E-18 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
1 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
2010 SECTION VIII, DIVISION 2
5-128
Table 5.E.16 – Stress Factors
x
K And
y
K Coefficients – Rectangular Hole Pattern
Notes:
1.
2345678 9 10
1234567891011
2468
12 13 14 15
,
1
xy
CCCCCCCCCC C
KK
CCCC
θ
θθθθθθθ θ θ
θθθθ
+++++++++ +
=
++++
2. See Figure 5.E.4 for definition of
x
K and
y
K and
θ
(
θ
is in Degrees, 090
θ
≤
≤ )
3.
Valid range is 0.1 1.0
μ
∗
≤≤, data for 0.05
μ
∗
= is provided for information only.
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