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Table 40. Analysis of variance for unconfined repeated load permanent deformation response.
Cycle ITC IPC MDTS Grand Pooled Analysis of Variance
Avg SSW Avg SSW Avg SSW Avg COV SSB MSW MSB F Fcr Conclusion
1 0.04 0.0000 0.05 0.0000 0.06 0.0001 0.05 6.02 0.0014 0.0000 0.0007 55.85 4.26 Permanent strains are different
16 0.23 0.0008 0.27 0.0002 0.27 0.0008 0.26 4.67 0.0040 0.0002 0.0020 10.42 4.26 Permanent strains are different
25 0.28 0.0010 0.33 0.0002 0.33 0.0012 0.31 4.54 0.0050 0.0003 0.0025 9.36 4.26 Permanent strains are different
40 0.34 0.0020 0.39 0.0002 0.39 0.0017 0.38 4.77 0.0063 0.0004 0.0031 7.32 4.26 Permanent strains are different
63 0.41 0.0026 0.46 0.0002 0.46 0.0024 0.45 4.68 0.0065 0.0006 0.0033 5.58 4.26 Permanent strains are different
100 0.49 0.0048 0.54 0.0003 0.54 0.0039 0.52 5.23 0.0082 0.0010 0.0041 4.10 4.26 Permanent strains are the same
160 0.58 0.0072 0.64 0.0005 0.63 0.0066 0.62 5.58 0.0088 0.0016 0.0044 2.77 4.26 Permanent strains are the same
250 0.69 0.0130 0.75 0.0007 0.74 0.0105 0.73 6.19 0.0094 0.0027 0.0047 1.75 4.26 Permanent strains are the same
400 0.83 0.0219 0.89 0.0015 0.88 0.0192 0.87 6.88 0.0090 0.0047 0.0045 0.95 4.26 Permanent strains are the same
630 1.01 0.0377 1.07 0.0032 1.06 0.0375 1.05 7.70 0.0080 0.0087 0.0040 0.46 4.26 Permanent strains are the same
1000 1.30 0.0721 1.35 0.0078 1.33 0.0871 1.32 8.91 0.0056 0.0186 0.0028 0.15 4.26 Permanent strains are the same
1600 1.80 0.1451 1.84 0.0225 1.80 0.2871 1.81 10.75 0.0034 0.0505 0.0017 0.03 4.26 Permanent strains are the same
2500 2.91 0.4842 2.89 0.0964 2.83 1.7224 2.88 15.22 0.0152 0.2559 0.0076 0.03 4.26 Permanent strains are the same
The permanent deformation curves in Figure 20 are for un- permanent deformation response from different machines.
confined tests; those in Figure 21 are for confined tests. For The analysis for selected load cycles is presented in Table 40
unconfined tests, flow occurred at approximately 1,000 cycles. for the unconfined tests and Table 41 for the confined tests.
Flow did not occur in the confined tests. The sections below The data in Table 40 indicate a significant difference in the
discuss the statistical analysis of these data. permanent deformation response between devices early in
the tests up to approximately 100 load cycles. Although there
is a significant difference and based on the Duncan multiple
3.3.1 Statistical Analysis
range test, the permanent deformation from the ITC device
Analysis of variance as discussed previously in the dy- is significantly lower than the other two, the difference is only
namic modulus section was used to analyze differences in the 0.05 percent, which is not significant from an engineering
Table 41. Analysis of variance for confined repeated load permanent deformation response.
Cycle IPC ITC MDTS Grand Pooled Analysis of Variance
Avg SSW Avg SSW Avg SSW Avg COV SSB MSW MSB F Fcr Conclusion
1 0.14 0.0001 0.13 0.0100 0.14 0.0009 0.13 22.83 0.0002 0.0014 0.0001 0.06 4.46 Permanent strains are the same
16 0.55 0.0032 0.52 0.2046 0.52 0.0229 0.53 26.14 0.0017 0.0288 0.0008 0.03 4.46 Permanent strains are the same
25 0.64 0.0063 0.61 0.2692 0.62 0.0304 0.63 25.58 0.0017 0.0382 0.0009 0.02 4.46 Permanent strains are the same
40 0.74 0.0082 0.72 0.3464 0.73 0.0432 0.73 24.99 0.0009 0.0497 0.0004 0.01 4.46 Permanent strains are the same
63 0.84 0.0133 0.84 0.4260 0.84 0.0602 0.84 24.40 0.0001 0.0624 0.0001 0.00 4.46 Permanent strains are the same
100 0.96 0.0191 0.98 0.5152 0.96 0.0862 0.96 23.69 0.0010 0.0776 0.0005 0.01 4.46 Permanent strains are the same
160 1.09 0.0279 1.13 0.6066 1.09 0.1218 1.10 22.88 0.0046 0.0945 0.0023 0.02 4.46 Permanent strains are the same
250 1.23 0.0394 1.30 0.6931 1.23 0.1735 1.25 22.12 0.0128 0.1133 0.0064 0.06 4.46 Permanent strains are the same
400 1.39 0.0573 1.49 0.7840 1.39 0.2531 1.43 21.37 0.0277 0.1368 0.0139 0.10 4.46 Permanent strains are the same
630 1.57 0.0713 1.71 0.9001 1.56 0.3657 1.61 20.86 0.0544 0.1671 0.0272 0.16 4.46 Permanent strains are the same
1000 1.77 0.0857 1.96 1.0391 1.74 0.4888 1.82 20.31 0.1052 0.2017 0.0526 0.26 4.46 Permanent strains are the same
1600 2.00 0.0963 2.23 1.2087 1.94 0.6473 2.06 19.77 0.1810 0.2440 0.0905 0.37 4.46 Permanent strains are the same
2500 2.26 0.0954 2.51 1.3856 2.16 0.8518 2.31 19.21 0.2682 0.2916 0.1341 0.46 4.46 Permanent strains are the same
4000 2.62 0.0746 2.85 1.5940 2.41 1.1233 2.63 18.45 0.4015 0.3490 0.2007 0.58 4.46 Permanent strains are the same
6300 3.06 0.0966 3.22 1.8747 2.67 1.4255 2.98 17.91 0.6448 0.4246 0.3224 0.76 4.46 Permanent strains are the same
10000 3.50 0.3918 3.62 2.1780 2.96 1.7957 3.36 18.23 0.9769 0.5457 0.4884 0.90 4.46 Permanent strains are the same
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1.0
0.9
0.8
Permanent Strain, % 0.7
0.6
ITC
0.5 IPC
MDTS
0.4
0.3
0.2
0.1
0.0
0 20 40 60 80 100
Load Cycles
Figure 22. Comparison of permanent deformation response for the early
portion of the unconfined repeated load tests.
standpoint. Figure 22 compares to early portion of the perma- significant differences more difficult to detect. Figure 23 is a plot
nent deformation curves for unconfined tests with the three showing the coefficient of variation for confined and uncon-
devices. fined tests as a function of axial strain in the specimen. The co-
The data in Table 41 indicate that there is not a significant efficient of variation plotted in this figure is a pooled value based
difference in the permanent deformation response for confined on data from the three machines. The coefficient of variation in
tests using different equipment. However, confined testing has the unconfined test increases with increasing axial strain, while
greater variability compared to unconfined testing making it decreases with increasing strain in confined tests. Before, the
30
25
Coefficeint of Variation, %
20
Unconfined
15 Confined
10
5
0
0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
Permanent Strain, %
Figure 23. Coefficient of variation for unconfined and confined repeated
load tests.