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OCR for page 116
117 APPENDIX 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 Average of all Labs 3.876 Std. Dev. Between Cell Averages (Sx) 0.220 Repeatability Standard Deviation (Sr) 0.249 Reproducibility Standard Deviation (SR) 0.300 Between Lab Standard Deviation of Lab Means(SL) 0.167 Pooled within lab variance (SA2) 0.062 (Components of variance) W/L 2 Between Lab Variance of Lab Means(SL ) 0.028 (Components of variance) B/L W/L Variance 0.062 B/L Variance 0.090 h critical = 2.05 k critical = 2.03 LAB MATERIAL B (PG 67-22 Opt. 400 ms) 1 2 3 Avg. Std. Dev. Variance h k 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 Average of all Labs 5.370 Std. Dev. Between Cell Averages (Sx) 0.365 Repeatability Standard Deviation (Sr) 0.240 Reproducibility Standard Deviation (SR) 0.414 Between Lab Standard Deviation of Lab Means(SL) 0.338 Pooled within lab variance (SA2) 0.058 2 Between Lab Variance of Lab Means(SL ) 0.114 W/L Variance 0.058 B/L Variance 0.172 h critical = 2.05 k critical = 2.03

OCR for page 116
118 LAB MATERIAL C (PG 67-22 120 ms Logarithmic) 1 2 3 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 Average of all Labs 10.609 Std. Dev. Between Cell Averages (Sx) 1.642 Repeatability Standard Deviation (Sr) 1.322 Reproducibility Standard Deviation (SR) 1.965 Between Lab Standard Deviation of Lab Means(SL) 1.454 Pooled within lab variance (SA2) 1.747 2 Between Lab Variance of Lab Means(SL ) 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 LAB MATERIAL C (PG 67-22 120 ms Weibull ) 1 2 3 Avg. Std. Dev. Variance h k 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 Average of all Labs 8.794 Std. Dev. Between Cell Averages (Sx) 0.915 Repeatability Standard Deviation (Sr) 0.586 Reproducibility Standard Deviation (SR) 1.032 Between Lab Standard Deviation of Lab Means(SL) 0.850 Pooled within lab variance (SA2) 0.343 2 Between Lab Variance of Lab Means(SL ) 0.723 W/L Variance 0.343 B/L Variance 1.066 h critical = 1.74 k critical = 1.92

OCR for page 116
119 LAB MATERIAL C (PG 67-22 120 ms RDEC) 1 2 3 Avg. Std. Dev. Variance h k 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 Average of all Labs 10.275 Std. Dev. Between Cell Averages (Sx) 3.421 Repeatability Standard Deviation (Sr) 2.341 Reproducibility Standard Deviation (SR) 3.919 Between Lab Standard Deviation of Lab Means(SL) 3.143 Pooled within lab variance (SA2) 5.480 2 Between Lab Variance of Lab Means(SL ) 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 LAB MATERIAL A (PG 76-22 800 ms) 1 2 3 Avg. Std. Dev. Variance h k 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 Average of all Labs 3.932 Std. Dev. Between Cell Averages (Sx) 0.127 Repeatability Standard Deviation (Sr) 0.261 Reproducibility Standard Deviation (SR) 0.261 Between Lab Standard Deviation of Lab Means(SL) 0.000 Pooled within lab variance (SA2) 0.068 (Components of variance) W/L 2 Between Lab Variance of Lab Means(SL ) 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

OCR for page 116
120 LAB MATERIAL B (PG 76-22 400 ms) 1 2 3 Avg. Std. Dev. Variance h k 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 Average of all Labs 5.624 Std. Dev. Between Cell Averages (Sx) 0.299 Repeatability Standard Deviation (Sr) 0.295 Reproducibility Standard Deviation (SR) 0.384 Between Lab Standard Deviation of Lab Means(SL) 0.246 Pooled within lab variance (SA2) 0.087 (Components of variance) W/L 2 Between Lab Variance of Lab Means(SL ) 0.060 (Components of variance) B/L W/L Variance 0.087 B/L Variance 0.147 h critical = 1.15 k critical = 1.67 LAB MATERIAL C (PG 67-22 220 ms Logarithmic) 1 2 3 Avg. Std. Dev. Variance h k 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 Average of all Labs 8.209 Std. Dev. Between Cell Averages (Sx) 0.441 Repeatability Standard Deviation (Sr) 1.207 Reproducibility Standard Deviation (SR) 1.207 Between Lab Standard Deviation of Lab Means(SL) 0.000 Pooled within lab variance (SA2) 1.458 (Components of variance) W/L 2 Between Lab Variance of Lab Means(SL ) 0.000 (Components of variance) B/L W/L Variance 1.458 B/L Variance 1.458 h critical = 1.15 k critical = 1.67 LAB MATERIAL C (PG 67-22 220 ms Weibull) 1 2 3 Avg. Std. Dev. Variance h k 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 Average of all Labs 7.563 Std. Dev. Between Cell Averages (Sx) 0.309 Repeatability Standard Deviation (Sr) 0.719 Reproducibility Standard Deviation (SR) 0.719 Between Lab Standard Deviation of Lab Means(SL) 0.000 Pooled within lab variance (SA2) 0.517 (Components of variance) W/L 2 Between Lab Variance of Lab Means(SL ) 0.000 (Components of variance) B/L W/L Variance 0.517 B/L Variance 0.517 h critical = 1.15 k critical = 1.67

OCR for page 116
121 LAB MATERIAL C (PG 67-22 220 ms RDEC) 1 2 3 Avg. Std. Dev. Variance h k 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 Average of all Labs 9.607 Std. Dev. Between Cell Averages (Sx) 0.967 Repeatability Standard Deviation (Sr) 2.151 Reproducibility Standard Deviation (SR) 2.151 Between Lab Standard Deviation of Lab Means(SL) 0.000 Pooled within lab variance (SA2) 4.625 (Components of variance) W/L 2 Between Lab Variance of Lab Means(SL ) 0.000 (Components of variance) B/L W/L Variance 4.625 B/L Variance 4.625 h critical = 1.15 k critical = 1.67 LAB MATERIAL A (PG 67-22 Opt.+ 800 ms) 1 2 3 Avg. Std. Dev. Variance h k 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 Average of all Labs 4.203 Std. Dev. Between Cell Averages (Sx) 0.107 Repeatability Standard Deviation (Sr) 0.207 Reproducibility Standard Deviation (SR) 0.207 Between Lab Standard Deviation of Lab Means(SL) 0.000 Pooled within lab variance (SA2) 0.043 (Components of variance) W/L 2 Between Lab Variance of Lab Means(SL ) 0.000 (Components of variance) B/L W/L Variance 0.043 B/L Variance 0.043 h critical = 1.15 k critical = 1.67 LAB MATERIAL B (PG 67-22 Opt.+ 400 ms) 1 2 3 Avg. Std. Dev. Variance h k 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 Average of all Labs 5.717 Std. Dev. Between Cell Averages (Sx) 0.134 Repeatability Standard Deviation (Sr) 0.243 Reproducibility Standard Deviation (SR) 0.243 Between Lab Standard Deviation of Lab Means(SL) 0.000 Pooled within lab variance (SA2) 0.059 2 Between Lab Variance of Lab Means(SL ) 0.000 W/L Variance 0.059 B/L Variance 0.059 h critical = 1.15 k critical = 1.67