Below is the uncorrected machine-read text of this chapter, intended to provide our own search engines and external engines with highly rich, chapter-representative searchable text of each book. Because it is UNCORRECTED material, please consider the following text as a useful but insufficient proxy for the authoritative book pages.
117 A P P E N D I X D NCHRP 9-38 Beam Fatigue Fatigue Life LAB MATERIAL A (PG 67-22 Opt. 800 ms) 1 2 3 Avg. Std. Dev. Variance h k 1 3.13 3.66 3.72 3.50 0.324 0.105 -1.69 1.30 2 3.82 3.68 3.97 3.82 0.146 0.021 -0.25 0.58 3 3.89 3.99 3.42 3.77 0.305 0.093 -0.50 1.22 4 4.26 3.93 4.26 4.15 0.191 0.037 1.24 0.77 5 4.09 3.95 4.06 4.03 0.073 0.005 0.72 0.29 6 3.78 3.85 3.78 3.80 0.043 0.002 -0.33 0.17 7 4.39 4.18 3.59 4.06 0.415 0.172 0.82 1.66 3.876 0.220 0.249 0.300 0.167 0.062 (Components of variance) W/L 0.028 (Components of variance) B/L 0.062 0.090 Average of all Labs Std. Dev. Between Cell Averages (Sx) Repeatability Standard Deviation (Sr) Reproducibility Standard Deviation (SR) Between Lab Standard Deviation of Lab Means(SL) Pooled within lab variance (SA2) Between Lab Variance of Lab Means(SL2) W/L Variance B/L Variance h critical = 2.05 k critical = 2.03 LAB MATERIAL B (PG 67-22 Opt. 400 ms) 1 5.49 5.60 5.43 5.51 0.087 0.008 0.38 0.36 2 4.68 4.94 5.06 4.89 0.196 0.038 -1.30 0.81 3 5.50 5.64 5.58 5.58 0.070 0.005 0.56 0.29 4 5.99 5.76 6.10 5.95 0.174 0.030 1.60 0.72 5 5.35 4.59 4.95 4.97 0.381 0.145 -1.11 1.59 6 5.39 5.43 5.38 5.40 0.023 0.001 0.09 0.10 7 5.57 4.81 5.49 5.29 0.421 0.177 -0.22 1.75 5.370 0.365 0.240 0.414 0.338 0.058 0.114 0.058 0.172 1 2 3 Avg. Std. Dev. Variance h k Average of all Labs Std. Dev. Between Cell Averages (Sx) Repeatability Standard Deviation (Sr) Reproducibility Standard Deviation (SR) Between Lab Standard Deviation of Lab Means(SL) Pooled within lab variance (SA2) Between Lab Variance of Lab Means(SL2) W/L Variance B/L Variance h critical = 2.05 k critical = 2.03
118 LAB MATERIAL C (PG 67-22 120 ms Logarithmic) Avg. Std. Dev. Variance h k 1 9.92 7.60 7.24 8.25 1.453 2.110 -1.44 1.10 2 21.92 10.55 21.62 1.64 2.07 3 10.13 10.80 11.63 10.85 0.751 0.564 0.15 0.57 4 12.88 10.90 12.25 12.01 1.012 1.024 0.86 0.77 5 9.52 13.15 11.29 11.32 1.814 3.290 0.43 1.37 10.609 1.642 1.322 1.965 1.454 1.747 2.114 W/L Variance 1.747 B/L Variance 3.861 h critical = 1.74 k critical = 1.92 Lab 2's data excluded as outlier 1 2 3 Average of all Labs Std. Dev. Between Cell Averages (Sx) Repeatability Standard Deviation (Sr) Reproducibility Standard Deviation (SR) Between Lab Standard Deviation of Lab Means(SL) Pooled within lab variance (SA2) Between Lab Variance of Lab Means(SL2) LAB MATERIAL C (PG 67-22 120 ms Weibull ) Avg. Std. Dev. Variance 1 8.04 7.68 7.34 7.69 0.350 0.123 -1.21 0.60 2 10.49 9.31 10.22 10.01 0.620 0.385 1.33 1.06 3 7.84 8.25 8.40 8.16 0.292 0.085 -0.69 0.50 4 9.36 8.63 9.91 9.30 0.640 0.409 0.55 1.09 5 7.83 9.26 9.33 8.81 0.844 0.713 0.02 1.44 8.794 0.915 0.586 1.032 0.850 0.343 0.723 0.343 1.066 h k W/L Variance B/L Variance h critical = 1.74 k critical = 1.92 1 2 3 Average of all Labs Std. Dev. Between Cell Averages (Sx) Repeatability Standard Deviation (Sr) Reproducibility Standard Deviation (SR) Between Lab Standard Deviation of Lab Means(SL) Pooled within lab variance (SA2) Between Lab Variance of Lab Means(SL2)
119 LAB MATERIAL A (PG 76-22 800 ms) Avg. Std. Dev. Variance 1 3.66 3.77 4.30 3.91 0.343 0.117 -0.17 1.31 2 4.30 3.87 4.04 4.07 0.218 0.048 1.07 0.84 3 3.87 3.60 3.98 3.82 0.197 0.039 -0.90 0.76 3.932 0.127 0.261 0.261 0.000 0.068 (Components of variance) W/L 0.000 (Components of variance) B/L W/L Variance 0.068 B/L Variance 0.068 h critical = 1.15 k critical = 1.67 h k1 2 3 Average of all Labs Std. Dev. Between Cell Averages (Sx) Repeatability Standard Deviation (Sr) Reproducibility Standard Deviation (SR) Between Lab Standard Deviation of Lab Means(SL) Pooled within lab variance (SA2) Between Lab Variance of Lab Means(SL2) LAB MATERIAL C (PG 67-22 120 ms RDEC) Avg. Std. Dev. Variance 1 9.76 3.82 2.18 5.26 3.988 15.908 -1.47 1.70 2 13.73 9.81 13.43 12.32 2.177 4.740 0.60 0.93 3 11.57 13.29 12.85 12.57 0.892 0.795 0.67 0.38 4 5 10.65 11.74 10.47 10.95 0.690 0.476 0.20 0.29 10.275 3.421 2.341 3.919 3.143 5.480 9.875 W/L Variance 5.480 B/L Variance 15.355 h critical = 1.49 k critical = 1.82 RDEC could not be calculated with dissipated energy data provided by Lab 4 h k1 2 3 Average of all Labs Std. Dev. Between Cell Averages (Sx) Repeatability Standard Deviation (Sr) Reproducibility Standard Deviation (SR) Between Lab Standard Deviation of Lab Means(SL) Pooled within lab variance (SA2) Between Lab Variance of Lab Means(SL2)
120 LAB MATERIAL C (PG 67-22 220 ms Weibull) Avg. Std. Dev. Variance 1 7.42 7.49 7.45 7.45 0.034 0.001 -0.36 0.05 2 8.76 7.06 7.91 1.204 1.451 1.13 1.68 3 6.99 7.37 7.61 7.32 0.314 0.099 -0.77 0.44 7.563 0.309 0.719 0.719 0.000 0.517 (Components of variance) W/L 0.000 (Components of variance) B/L 0.517 0.517 W/L Variance B/L Variance h critical = 1.15 k critical = 1.67 h k1 2 3 Average of all Labs Std. Dev. Between Cell Averages (Sx) Repeatability Standard Deviation (Sr) Reproducibility Standard Deviation (SR) Between Lab Standard Deviation of Lab Means(SL) Pooled within lab variance (SA2) Between Lab Variance of Lab Means(SL2) LAB MATERIAL C (PG 67-22 220 ms Logarithmic) Avg. Std. Dev. Variance 1 7.64 9.29 9.00 8.64 0.883 0.779 0.98 0.73 2 9.39 7.06 8.22 1.644 2.702 0.03 1.36 3 6.67 8.23 8.38 7.76 0.944 0.891 -1.02 0.78 8.209 0.441 1.207 1.207 0.000 1.458 (Components of variance) W/L 0.000 (Components of variance) B/L 1.458 1.458 W/L Variance B/L Variance h critical = 1.15 k critical = 1.67 h k1 2 3 Average of all Labs Std. Dev. Between Cell Averages (Sx) Repeatability Standard Deviation (Sr) Reproducibility Standard Deviation (SR) Between Lab Standard Deviation of Lab Means(SL) Pooled within lab variance (SA2) Between Lab Variance of Lab Means(SL2) LAB MATERIAL B (PG 76-22 400 ms) Avg. Std. Dev. Variance 1 5.88 5.50 5.85 5.74 0.207 0.043 0.40 0.70 2 5.57 4.91 5.37 5.28 0.336 0.113 -1.14 1.14 3 5.51 6.16 5.86 5.84 0.324 0.105 0.74 1.10 5.624 0.299 0.295 0.384 0.246 0.087 (Components of variance) W/L 0.060 (Components of variance) B/L 0.087 0.147 W/L Variance B/L Variance h critical = 1.15 k critical = 1.67 h k1 2 3 Average of all Labs Std. Dev. Between Cell Averages (Sx) Repeatability Standard Deviation (Sr) Reproducibility Standard Deviation (SR) Between Lab Standard Deviation of Lab Means(SL) Pooled within lab variance (SA2) Between Lab Variance of Lab Means(SL2)
121 LAB MATERIAL C (PG 67-22 220 ms RDEC) Avg. Std. Dev. Variance 1 6.86 11.59 11.29 9.91 2.647 7.007 0.32 1.23 2 9.99 7.06 8.53 2.071 4.290 -1.12 0.96 3 8.54 11.47 11.14 10.39 1.606 2.578 0.80 0.75 9.607 0.967 2.151 2.151 0.000 4.625 (Components of variance) W/L 0.000 (Components of variance) B/L 4.625 4.625 W/L Variance B/L Variance h critical = 1.15 k critical = 1.67 h k1 2 3 Average of all Labs Std. Dev. Between Cell Averages (Sx) Repeatability Standard Deviation (Sr) Reproducibility Standard Deviation (SR) Between Lab Standard Deviation of Lab Means(SL) Pooled within lab variance (SA2) Between Lab Variance of Lab Means(SL2) LAB MATERIAL A (PG 67-22 Opt.+ 800 ms) Avg. Std. Dev. Variance 1 3.88 4.42 4.12 4.14 0.268 0.072 -0.57 1.30 2 4.31 4.55 4.12 4.33 0.216 0.047 1.15 1.05 3 4.16 4.04 4.23 4.14 0.097 0.009 -0.58 0.47 4.203 0.107 0.207 0.207 0.000 0.043 (Components of variance) W/L 0.000 (Components of variance) B/L 0.043 0.043 W/L Variance B/L Variance h critical = 1.15 k critical = 1.67 h k1 2 3 Average of all Labs Std. Dev. Between Cell Averages (Sx) Repeatability Standard Deviation (Sr) Reproducibility Standard Deviation (SR) Between Lab Standard Deviation of Lab Means(SL) Pooled within lab variance (SA2) Between Lab Variance of Lab Means(SL2) LAB MATERIAL B (PG 67-22 Opt.+ 400 ms) Avg. Std. Dev. Variance 1 5.60 5.97 6.04 5.87 0.239 0.057 1.14 0.98 2 5.94 5.34 5.59 5.62 0.303 0.092 -0.72 1.25 3 5.75 5.47 5.77 5.66 0.167 0.028 -0.42 0.69 5.717 0.134 0.243 0.243 0.000 0.059 0.000 0.059 0.059 W/L Variance B/L Variance h critical = 1.15 k critical = 1.67 h k1 2 3 Average of all Labs Std. Dev. Between Cell Averages (Sx) Repeatability Standard Deviation (Sr) Reproducibility Standard Deviation (SR) Between Lab Standard Deviation of Lab Means(SL) Pooled within lab variance (SA2) Between Lab Variance of Lab Means(SL2)
