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APPENDIX G â CONCRETE FATIGUE DATABASE G-1
List of Tables Table G-1 Fatigue Data for Plain Concrete in Compression [1] ............................................... G-3 Table G-2 Concrete Fatigue Data for Reinforced Concrete [2, 3, 4, 5] .................................... G-6 List of Figures Figure G-1 Normal probability plot of fatigue resistance data for steel reinforcement in tension .............................................................................................................................. G-12 Figure G-2 Normal probability plot of truncated fatigue resistance data with best fit line for steel reinforcement in tension ........................................................................................................ G-12 Figure G-3 Normal probability plot of fatigue resistance data for concrete in compression .... G-13 Figure G-4 Normal probability plot of truncated fatigue resistance data with best fit line for concrete in compression ....................................................................................................... G-13 G-2
G Definitions: f_min = Minimum stress (ksi) fâc = Concrete compressive strength (ksi) N = Cycles to failure S_max = Maximum stress range (ksi) S_min = Minimum stress range (ksi) Sr = Stress range (ksi) Table G-1 Fatigue Data for Plain Concrete in Compression [1] S_max/f'c S_min (ksi) Sr (ksi) N Reference No. Notes 0.75 0.6 3.9 17000 1 Group 2A; e=0in 0.75 0.6 3.9 24000 1 Group 2A; e=0in 0.75 0.6 3.9 36000 1 Group 2A; e=0in 0.75 0.6 3.9 39000 1 Group 2A; e=0in 0.75 0.6 3.9 40000 1 Group 2A; e=0in 0.75 0.6 3.9 47000 1 Group 2A; e=0in 0.75 0.6 3.9 53000 1 Group 2A; e=0in 0.75 0.6 3.9 59000 1 Group 2A; e=0in 0.75 0.6 3.9 65000 1 Group 2A; e=0in 0.75 0.6 3.9 70000 1 Group 2A; e=0in 0.725 0.6 3.75 39000 1 Group 2A; e=0in 0.725 0.6 3.75 60000 1 Group 2A; e=0in 0.725 0.6 3.75 107000 1 Group 2A; e=0in 0.725 0.6 3.75 110000 1 Group 2A; e=0in 0.725 0.6 3.75 130000 1 Group 2A; e=0in 0.725 0.6 3.75 136000 1 Group 2A; e=0in 0.725 0.6 3.75 192000 1 Group 2A; e=0in 0.725 0.6 3.75 275000 1 Group 2A; e=0in 0.7 0.6 3.6 55000 1 Group 2A; e=0in 0.7 0.6 3.6 106000 1 Group 2A; e=0in 0.7 0.6 3.6 135000 1 Group 2A; e=0in 0.7 0.6 3.6 152000 1 Group 2A; e=0in 0.7 0.6 3.6 155000 1 Group 2A; e=0in 0.7 0.6 3.6 206000 1 Group 2A; e=0in 0.7 0.6 3.6 269000 1 Group 2A; e=0in 0.7 0.6 3.6 313000 1 Group 2A; e=0in 0.7 0.6 3.6 320000 1 Group 2A; e=0in 0.7 0.6 3.6 356000 1 Group 2A; e=0in 0.7 0.6 3.6 429000 1 Group 2A; e=0in G-3
S_max/f'c S_min (ksi) Sr (ksi) N Reference No. Notes 0.7 0.6 3.6 492000 1 Group 2A; e=0in 0.675 0.6 3.45 159000 1 Group 2A; e=0in 0.675 0.6 3.45 256000 1 Group 2A; e=0in 0.675 0.6 3.45 270000 1 Group 2A; e=0in 0.675 0.6 3.45 655000 1 Group 2A; e=0in 0.675 0.6 3.45 779000 1 Group 2A; e=0in 0.675 0.6 3.45 970000 1 Group 2A; e=0in 0.675 0.6 3.45 1048000 1 Group 2A; e=0in 0.675 0.6 3.45 1051000 1 Group 2A; e=0in 0.675 0.6 3.45 1318000 1 Group 2A; e=0in 0.675 0.6 3.45 1661000 1 Group 2A; e=0in 0.675 0.6 3.45 2000000 1 Group 2A; e=0in 0.675 0.6 3.45 2000000 1 Group 2A; e=0in 0.9 0.6 4.8 28000 1 Group 2B; e=1in 0.9 0.6 4.8 31000 1 Group 2B; e=1in 0.9 0.6 4.8 35000 1 Group 2B; e=1in 0.9 0.6 4.8 45000 1 Group 2B; e=1in 0.9 0.6 4.8 46000 1 Group 2B; e=1in 0.9 0.6 4.8 58000 1 Group 2B; e=1in 0.9 0.6 4.8 61000 1 Group 2B; e=1in 0.9 0.6 4.8 129000 1 Group 2B; e=1in 0.875 0.6 4.65 81000 1 Group 2B; e=1in 0.875 0.6 4.65 120000 1 Group 2B; e=1in 0.875 0.6 4.65 131000 1 Group 2B; e=1in 0.875 0.6 4.65 141000 1 Group 2B; e=1in 0.875 0.6 4.65 156000 1 Group 2B; e=1in 0.875 0.6 4.65 180000 1 Group 2B; e=1in 0.875 0.6 4.65 190000 1 Group 2B; e=1in 0.875 0.6 4.65 226000 1 Group 2B; e=1in 0.875 0.6 4.65 242000 1 Group 2B; e=1in 0.875 0.6 4.65 317000 1 Group 2B; e=1in 0.875 0.6 4.65 351000 1 Group 2B; e=1in 0.875 0.6 4.65 527000 1 Group 2B; e=1in 0.85 0.6 4.5 305000 1 Group 2B; e=1in 0.85 0.6 4.5 684000 1 Group 2B; e=1in 0.85 0.6 4.5 730000 1 Group 2B; e=1in 0.85 0.6 4.5 859000 1 Group 2B; e=1in 0.85 0.6 4.5 860000 1 Group 2B; e=1in 0.85 0.6 4.5 1045000 1 Group 2B; e=1in 0.85 0.6 4.5 2105000 1 Group 2B; e=1in G-4
S_max/f'c S_min (ksi) Sr (ksi) N Reference No. Notes 0.85 0.6 4.5 2751000 1 Group 2B; e=1in 0.85 0.6 4.5 2000000 1 Group 2B; e=1in 0.85 0.6 4.5 16000 1 Group 2C; e=1/3in 0.85 0.6 4.5 26000 1 Group 2C; e=1/3in 0.85 0.6 4.5 35000 1 Group 2C; e=1/3in 0.85 0.6 4.5 37000 1 Group 2C; e=1/3in 0.85 0.6 4.5 46000 1 Group 2C; e=1/3in 0.85 0.6 4.5 65000 1 Group 2C; e=1/3in 0.8 0.6 4.2 108000 1 Group 2C; e=1/3in 0.8 0.6 4.2 206000 1 Group 2C; e=1/3in 0.8 0.6 4.2 224000 1 Group 2C; e=1/3in 0.8 0.6 4.2 249000 1 Group 2C; e=1/3in 0.8 0.6 4.2 270000 1 Group 2C; e=1/3in 0.8 0.6 4.2 364000 1 Group 2C; e=1/3in 0.8 0.6 4.2 542000 1 Group 2C; e=1/3in 0.8 0.6 4.2 2000000 1 Group 2C; e=1/3in 0.775 0.6 4.05 464000 1 Group 2C; e=1/3in 0.775 0.6 4.05 888000 1 Group 2C; e=1/3in 0.775 0.6 4.05 941000 1 Group 2C; e=1/3in 0.775 0.6 4.05 1198000 1 Group 2C; e=1/3in 0.775 0.6 4.05 2000000 1 Group 2C; e=1/3in G-5
Table G-2 Concrete Fatigue Data for Reinforced Concrete [2, 3, 4, 5] f_min Sr N Reference No. Notes/Specimen No. 5.0 39.0 216,400 2 5.0 39.0 288,100 2 5.0 39.0 315,600 2 5.0 34.0 356,800 2 15.0 34.0 406,600 2 15.0 34.0 441,000 2 5.0 34.0 506,100 2 5.0 34.0 515,300 2 5.0 29.0 626,000 2 15.0 34.0 645,300 2 15.0 29.0 746,000 2 5.0 29.0 864,500 2 5.0 29.0 920,200 2 15.0 29.0 971,900 2 15.0 29.0 1,232,300 2 15.0 26.0 2,214,500 2 15.0 24.0 3,187,500 2 15.0 25.0 3,496,500 2 15.0 24.0 3,702,400 2 15.0 24.0 8,164,000 2 4.31 39.42 6,250,000 3 Bar A-A15 24.8 22.2 5,200,000 3 Bar A-A15 4.31 34.27 3,782,000 3 Bar A-A15 12.85 31.62 3,375,000 3 Bar A-A15 4.31 38.56 3,142,800 3 Bar A-A15 4.32 38.66 2,934,000 3 Bar A-A15 12.89 34.11 2,342,000 3 Bar A-A15 4.31 42.69 2,037,000 3 Bar A-A15 12.85 36.18 1,598,000 3 Bar A-A15 4.31 39.39 1,316,000 3 Bar A-A15 4.31 38.64 1,060,000 3 Bar A-A15 12.87 35.06 964,000 3 Bar A-A15 4.31 40.2 881,000 3 Bar A-A15 4.32 41.81 750,000 3 Bar A-A15 12.87 35.06 555,000 3 Bar A-A15 4.32 40.21 526,000 3 Bar A-A15 4.31 42.69 450,000 3 Bar A-A15 12.85 34.01 435,000 3 Bar A-A15 4.31 42.69 431,000 3 Bar A-A15 G-6
f_min Sr N Reference No. Notes/Specimen No. 4.32 40.22 359,000 3 Bar A-A15 4.32 41.81 281,000 3 Bar A-A15 4.31 42.59 245,500 3 Bar A-A15 4.31 41.75 224,300 3 Bar A-A15 4.31 42.69 183,000 3 Bar A-A15 18.99 44.31 89,200 3 Bar A-A15 5.95 62.75 92,200 3 Bar A-A15 5.93 53.96 113,500 3 Bar A-A15 18.97 47.24 169,500 3 Bar A-A15 5.93 47.61 286,000 3 Bar A-A15 5.93 44.46 317,800 3 Bar A-A15 19.11 42.42 389,200 3 Bar A-A15 19.11 44.6 406,300 3 Bar A-A15 5.95 40.8 432,400 3 Bar A-A440 19.06 37.91 432,600 3 Bar A-A440 19.13 41.23 456,100 3 Bar A-A440 5.93 47.61 505,600 3 Bar A-A440 19.05 37.89 526,800 3 Bar A-A440 5.92 41.46 561,700 3 Bar A-A440 5.94 41.41 590,000 3 Bar A-A440 5.94 38.18 914,700 3 Bar A-A440 18.99 33.44 990,000 3 Bar A-A440 5.95 36.07 1,073,000 3 Bar A-A440 5.94 36.6 1,123,000 3 Bar A-A440 19.04 36.09 1,160,000 3 Bar A-A440 19.02 37.84 1,193,000 3 Bar A-A440 5.93 38.17 1,285,000 3 Bar A-A440 5.92 41.45 1,315,600 3 Bar A-A440 19.07 36.16 1,475,750 3 Bar A-A440 5.94 36.06 1,589,000 3 Bar A-A440 5.94 38.44 2,330,000 3 Bar A-A440 5.92 35.93 2,772,300 3 Bar A-A440 18.98 31.45 2,867,000 3 Bar A-A440 5.95 29.75 3,097,000 3 Bar A-A440 19.03 34.69 3,705,200 3 Bar A-A440 5.93 35.99 3,766,000 3 Bar A-A440 5.96 29.78 4,405,000 3 Bar A-A440 18.98 28.28 4,514,000 3 Bar A-A440 8.94 67.1 75,000 3 Bar A-A431 8.94 67.1 101,000 3 Bar A-A431 G-7
f_min Sr N Reference No. Notes/Specimen No. 27.14 58.48 135,000 3 Bar A-A431 26.94 58.04 137,100 3 Bar A-A431 27 48.95 152,000 3 Bar A-A431 8.99 60.72 201,100 3 Bar A-A431 27 48.95 215,000 3 Bar A-A431 26.95 49.09 216,000 3 Bar A-A431 8.94 54.7 225,100 3 Bar A-A431 9 55.03 253,000 3 Bar A-A431 26.9 49.44 301,000 3 Bar A-A431 8.94 45.61 307,600 3 Bar A-A431 26.76 49.18 474,100 3 Bar A-A431 9 45.91 512,000 3 Bar A-A431 27.12 37.18 642,300 3 Bar A-A431 27.15 40.92 702,500 3 Bar A-A431 8.36 40.85 714,200 3 Bar A-A431 26.94 40.61 1,006,000 3 Bar A-A431 26.96 37.06 1,044,000 3 Bar A-A431 8.99 40.53 1,048,000 3 Bar A-A431 26.93 40.59 1,075,000 3 Bar A-A431 26.97 37.07 1,456,000 3 Bar A-A431 26.91 36.99 1,560,000 3 Bar A-A431 8.93 40.26 2,250,000 3 Bar A-A431 8.93 40.23 4,160,000 3 Bar A-A431 27 31.56 6,654,000 3 Bar A-A431 4.85 45.68 127,500 3 Bar B-A15 14.42 38.12 259,000 3 Bar B-A15 4.83 43.09 290,000 3 Bar B-A15 4.85 36 352,000 3 Bar B-A15 14.44 35.81 372,000 3 Bar B-A15 4.83 40.69 411,000 3 Bar B-A15 14.5 33.57 477,200 3 Bar B-A15 4.84 36 504,500 3 Bar B-A15 4.84 43.4 538,200 3 Bar B-A15 14.42 33.38 568,000 3 Bar B-A15 14.46 32.3 646,000 3 Bar B-A15 4.84 40.77 661,300 3 Bar B-A15 4.85 36.13 665,000 3 Bar B-A15 4.85 34.73 887,000 3 Bar B-A15 14.44 32.25 890,400 3 Bar B-A15 14.5 31.19 1,157,300 3 Bar B-A15 G-8
f_min Sr N Reference No. Notes/Specimen No. 14.47 29.93 1,478,000 3 Bar B-A15 14.43 31.11 1,664,200 3 Bar B-A15 4.84 34.67 1,900,000 3 Bar B-A15 4.83 33.6 3,012,800 3 Bar B-A15 14.44 29.87 4,819,500 3 Bar B-A15 14.46 28.71 5,350,000 3 Bar B-A15 8.11 38.38 91,500 3 Bar B-A431 8.13 62.66 102,000 3 Bar B-A431 8.13 57.69 110,000 3 Bar B-A431 24.33 52.23 120,200 3 Bar B-A431 8.13 52.55 174,000 3 Bar B-A431 24.39 48.37 188,000 3 Bar B-A431 24.41 44.45 255,300 3 Bar B-A431 8.13 48.37 266,000 3 Bar B-A431 24.26 40.22 313,000 3 Bar B-A431 8.13 44.39 428,000 3 Bar B-A431 24.26 36.08 541,000 3 Bar B-A431 24.38 36.28 604,200 3 Bar B-A431 8.12 40.42 651,000 3 Bar B-A431 24.41 32.14 979,000 3 Bar B-A431 8.13 36.49 1,630,000 3 Bar B-A431 8.11 36.4 1,697,000 3 Bar B-A431 24.2 31.87 3,150,000 3 Bar B-A431 24.39 30.33 4,270,000 3 Bar B-A431 9.32 51.35 134,200 3 Bar C-A431 28.04 46.53 158,000 3 Bar C-A431 9.35 46.73 225,000 3 Bar C-A431 9.31 41.78 257,000 3 Bar C-A431 31.89 38.04 311,000 3 Bar C-A431 9.32 41.81 415,500 3 Bar C-A431 9.32 37.26 428,000 3 Bar C-A431 9.31 41.78 430,000 3 Bar C-A431 9.34 37.36 430,000 3 Bar C-A431 9.32 37.26 431,000 3 Bar C-A431 28.05 35.61 462,400 3 Bar C-A431 28.02 35.57 477,700 3 Bar C-A431 31.9 31.5 499,300 3 Bar C-A431 9.28 35.16 503,300 3 Bar C-A431 27.94 30.32 648,400 3 Bar C-A431 27.85 27.86 1,056,000 3 Bar C-A431 G-9
f_min Sr N Reference No. Notes/Specimen No. 9.28 33.15 1,072,000 3 Bar C-A431 9.35 31.81 1,250,000 3 Bar C-A431 28.05 26.06 2,037,000 3 Bar C-A431 9.34 29.82 2,631,000 3 Bar C-A431 5 39 216,400 3 Bar D-A15 5 39 288,000 3 Bar D-A15 5 39 315,600 3 Bar D-A15 5 34 356,800 3 Bar D-A15 15 34 365,200 3 Bar D-A15 15 34 406,600 3 Bar D-A15 5 34 435,000 3 Bar D-A15 15 34 441,000 3 Bar D-A15 5 34 506,100 3 Bar D-A15 5 34 510,000 3 Bar D-A15 5 34 515,300 3 Bar D-A15 5 29 626,600 3 Bar D-A15 15 34 645,300 3 Bar D-A15 15 29 673,000 3 Bar D-A15 15 29 746,000 3 Bar D-A15 5 29 864,500 3 Bar D-A15 15 29 888,400 3 Bar D-A15 5 29 920,200 3 Bar D-A15 15 29 971,000 3 Bar D-A15 15 29 1,030,000 3 Bar D-A15 5 34 1,120,000 3 Bar D-A15 15 29 1,232,000 3 Bar D-A15 15 26 2,214,500 3 Bar D-A15 15 24 3,187,500 3 Bar D-A15 15 25 3,496,500 3 Bar D-A15 15 24 3,702,400 3 Bar D-A15 15 24 8,164,000 3 Bar D-A15 4.6 39.7 88,900 4 44CH 4.6 39.7 129,200 4 44CV 4.7 35.5 219,800 4 40CH 4.7 35.5 334,200 4 40CV 4.7 33.5 364,000 4 38CV 4.7 31.6 507,000 4 36CH 4.7 29.5 517,000 4 34CH 4.7 29.5 575,000 4 34CH 4.7 31.5 627,300 4 36CV G-10
f_min Sr N Reference No. Notes/Specimen No. 4.7 29.5 903,000 4 34CV 4.7 27.5 1,434,000 4 32CH 4.7 27.5 1,941,900 4 32CV 4.7 25.5 2,819,800 4 30CH 4.7 25.5 2,984,600 4 30CV 4.8 23.4 5,237,000 4 28CV 4.7 24.5 5,731,000 4 29CV 4.8 23.4 6,266,500 4 28CH 23.7 51.1 160,000 5 F75-5 22.1 49.4 248,000 5 F75-3 17.1 37.9 350,000 5 F50-7 19.3 47.3 401,000 5 F75-1 15.2 41.2 429,000 5 F60-1 21.3 40.6 604,000 5 F75-4 12.5 34.1 610,000 5 F50-1 13.6 37.8 624,000 5 F50-5 12.3 39.7 672,000 5 F60-3 15 32.4 787,000 5 F40-4 14 33.5 893,000 5 F50-3 13.5 31.9 1,063,000 5 F40-3 14.1 30.7 1,316,000 5 F50-6 16.4 28.6 1,348,000 5 F40-1 12.4 29.6 1,488,000 5 F40-2 21.5 40 1,781,000 5 F75-2 16.1 32.1 1,877,000 5 F60-2 16.4 31.9 3,004,000 5 F60-4 13.9 26.1 3,272,000 5 F50-4 12.3 27.7 3,623,000 5 F50-2 G-11
Normal probability plots for fatigue resistance data Figure G-1 Normal probability plot of fatigue resistance data for steel reinforcement in tension Figure G-2 Normal probability plot of truncated fatigue resistance data with best fit line for steel reinforcement in tension -3 -2 -1 0 1 2 3 0 1000 2000 3000 4000 5000 6000 7000 8000 REINFORCEMENT IN TENSION y = 0.0011x - 3.6898 -3 -2 -1 0 1 2 3 0 1000 2000 3000 4000 5000 6000 7000 8000 REINFORCEMENT IN TENSION TRUNCATED G-12
Figure G-3 Normal probability plot of fatigue resistance data for concrete in compression Figure G-4 Normal probability plot of truncated fatigue resistance data with best fit line for concrete in compression -3 -2 -1 0 1 2 3 0 50 100 150 200 250 300 350 400 450 500 Concrete in Compression y = 0.0085x - 2.2128 -3 -2 -1 0 1 2 3 0 50 100 150 200 250 300 350 400 450 500 Concrete in Compression truncated G-13
References Fisher, J. W., and I. M. Viest. 1961. "Fatigue Tests of Bridge Materials of the AASHTO Road Test." Highway Research Board, (Special Report No. 66), pp. 132-147. Hanson, J. M., K. T. Burton, and E. Hognestad. 1968. âFatigue Tests of Reinforcing Bars - Effect of Deformation Pattern.â Journal PCA Research and Development Laboratories, Vol. 10, No. 3, pp. 2-13. Lash, S. 1969. "Can High-Strength Reinforcement be Used for Highway Bridges?" First International Symposium on Concrete Bridge Design, ACI, (SP-23), pp. 283-299. Ople, F. S., and C. L. Hulsbos. 1966. "Probable Fatigue Life of Plain Concrete with Stress Gradient." ACI Journal Proceedings, Vol. 63, No. 1, pp. 59-82. Pfister, J. F., and E. Hognestad. 1964. "High Strength Bars as Concrete Reinforcement, Part 6, Fatigue Tests." Journal PCA Research and Development Laboratories, Vol. 6, No. 1, pp. 65-84. G-14
