Minimum Required Average Strength Without Sufficient Historical Data

Minimum required average strength without sufcient historical dataACI 318-11Guarantee 90% of results higher than f'cf'c f'cr %15 22 14720 27 13525 33.3 13330 38.3 12835 43.3 12440 49 12345 54.5 12150 60 120VietnamTCXV!"3#$-%&Guarantee 95% of results higher than BB = 0.77860.135 !or"al con#itions of $ro#uction%lass&B' B" ar( Class'() (m * +igher3)5 4)50 503.5 4.50 128.4355 6)42 755 6.42 128.4357)5 9)63 1007.5 9.63 128.43510 12)84 15010 12.84 128.43512)5 16)05 15012.5 16.05 128.43515 19)27 20015 19.27 128.43520 25)69 25020 25.69 128.43522)5 28)90 30022.5 28.90 128.43525 32)11 35025 32.11 128.43527)5 35)32 35027.5 35.32 128.43530 38)53 40030 38.53 128.43535 44)95 45035 44.95 128.43540 51)37 50040 51.37 128.43545 57)80 60045 57.80 128.435( ) 64 1 1 , B Bm =50 64)22 70050 64.22 128.435Calcuating ,or the average o, - consecutive test results './0 1 and %)=0.135 !or"al con#itions of $ro#uction.ro1a1ilit2 o, 1 in 1&& results ,ails .ro1a1ilit2 o, 1 in %&& results ,ails34 %533 34 %5#8Class'() (m * Class'() (m *3.5 4.2 118.7 3.5 4.2 121.15 5.9 118.7 5 6.1 121.17.5 8.9 118.7 7.5 9.1 121.110 11.9 118.7 10 12.1 121.112.5 14.8 118.7 12.5 15.1 121.115 17.8 118.7 15 18.2 121.120 23.7 118.7 20 24.2 121.122.5 26.7 118.7 22.5 27.2 121.125 29.7 118.7 25 30.3 121.127.5 32.6 118.7 27.5 33.3 121.130 35.6 118.7 30 36.3 121.135 41.5 118.7 35 42.4 121.140 47.5 118.7 40 48.4 121.145 53.4 118.7 45 54.5 121.150 59.3 118.7 50 60.5 121.1!or"al con#itions of $ro#uctionCalcuating ,or the average o, - consecutive test results './0 1 and %)=0.135 !or"al con#itions of $ro#uction!ormal .ro1a1ilit2 o, 1 in 1&& results ,ails6elashionshi7 34 %533Class'() (m Class'() (m *3.5 4.50 3.5 4.2 118.75 6.42 5 5.9 118.77.5 9.63 7.5 8.9 118.710 12.84 10 11.9 118.712.5 16.05 12.5 14.8 118.715 19.27 15 17.8 118.720 25.69 20 23.7 118.722.5 28.90 22.5 26.7 118.725 32.11 25 29.7 118.727.5 35.32 27.5 32.6 118.730 38.53 30 35.6 118.735 44.95 35 41.5 118.740 51.37 40 47.5 118.745 57.80 45 53.4 118.750 64.22 50 59.3 118.7Calcuating ,or the average o, - consecutive test results './0 1 and %)!or"al con#itions of $ro#uction.ro1a1ilit2 o, 1 in %&& results ,ails34 %5#8Class'() (m *3.5 4.2 121.15 6.1 121.17.5 9.1 121.110 12.1 121.112.5 15.1 121.115 18.2 121.120 24.2 121.122.5 27.2 121.125 30.3 121.127.5 33.3 121.130 36.3 121.135 42.4 121.140 48.4 121.145 54.5 121.150 60.5 121.1*+erage of 2 results.ro1a1ilit2 o, 1 in 1&& results ,ails .ro1a1ilit2 o, 1 in %&& results ,ails34 %533 34 %5#8Class'() (m * Class'() (m *3.5 4.5 128.6 3.5 4.6 132.75 6.4 128.6 5 6.6 132.77.5 9.6 128.6 7.5 10.0 132.710 12.9 128.6 10 13.3 132.712.5 16.1 128.6 12.5 16.6 132.715 19.3 128.6 15 19.9 132.720 25.7 128.6 20 26.5 132.722.5 28.9 128.6 22.5 29.9 132.725 32.2 128.6 25 33.2 132.727.5 35.4 128.6 27.5 36.5 132.730 38.6 128.6 30 39.8 132.735 45.0 128.6 35 46.4 132.740 51.4 128.6 40 53.1 132.745 57.9 128.6 45 59.7 132.750 64.3 128.6 50 66.3 132.7*+erage of 3 results.ro1a1ilit2 o, 1 in %&& results ,ails .ro1a1ilit2 o, 1 in 1&& results ,ails .ro1a1ilit2 o, 1 in %&& results ,ails34 %533 34 %5#8Class'() (m * Class'() (m *3.5 4.3 122.2 3.5 4.4 125.25 6.1 122.2 5 6.3 125.27.5 9.2 122.2 7.5 9.4 125.210 12.2 122.2 10 12.5 125.212.5 15.3 122.2 12.5 15.6 125.215 18.3 122.2 15 18.8 125.220 24.4 122.2 20 25.0 125.222.5 27.5 122.2 22.5 28.2 125.225 30.5 122.2 25 31.3 125.227.5 33.6 122.2 27.5 34.4 125.230 36.7 122.2 30 37.6 125.235 42.8 122.2 35 43.8 125.240 48.9 122.2 40 50.1 125.245 55.0 122.2 45 56.3 125.250 61.1 122.2 50 62.6 125.2.ro1a1ilit2 o, 1 in %&& results ,ails8sing coefcient o, variation in Vietnam with ACI requirements=0.135 !or"al con#itions of $ro#uction!ormal 9quation #-1 9quation #-%6elashionshi7Class'() (m Class'() (m * Class'()3.5 4.50 3.5 4.3 122.1 3.55 6.42 5 6.1 122.1 57.5 9.63 7.5 9.2 122.1 7.510 12.84 10 12.2 122.1 1012.5 16.05 12.5 15.3 122.1 12.515 19.27 15 18.3 122.1 1520 25.69 20 24.4 122.1 2022.5 28.90 22.5 27.5 122.1 22.525 32.11 25 30.5 122.1 2527.5 35.32 27.5 33.6 122.1 27.530 38.53 30 36.6 122.1 3035 44.95 35 42.7 122.1 3540 51.37 40 48.8 122.1 4045 57.80 45 54.9 122.1 4550 64.22 50 61.0 122.1 508sing coefcient o, variation in Vietnam with ACI requirements9quation #-% 9quation #-3(m * Class'() (m *0.0 0.0 3.5 0.02.2 43.8 5 0.05.8 77.8 7.5 0.09.5 94.8 10 0.013.1 105.0 12.5 0.016.8 111.8 15 0.024.1 120.4 20 0.027.7 123.2 22.5 0.031.4 125.5 25 0.035.0 127.3 27.5 0.038.7 128.9 30 0.046.0 131.3 35 0.00.0 40 52.5 131.30.0 45 59.1 131.30.0 50 65.7 131.3VietnamTCXV!"3#$-%&Guarantee 95% of results higher than BB = 0.77860.135 !or"al con#itions of $ro#uction%lass&B' B" ar( Class'() (m * +igher i:erence3)5 4)50 503.5 4.50 128.435 1.005 6)42 755 6.42 128.435 1.427)5 9)63 1007.5 9.63 128.435 2.1310 12)84 15010 12.84 128.435 2.8412)5 16)05 15012.5 16.05 128.435 3.5515 19)27 20015 19.27 128.435 4.2720 25)69 25020 25.69 128.435 5.6922)5 28)90 30022.5 28.90 128.435 6.4025 32)11 35025 32.11 128.435 7.1127)5 35)32 35027.5 35.32 128.435 7.8230 38)53 40030 38.53 128.435 8.5335 44)95 45035 44.95 128.435 9.9540 51)37 50040 51.37 128.435 11.3745 57)80 60045 57.80 128.435 12.8050 64)22 70050 64.22 128.435 14.22s 2 3 4 5,afet- 3.28 4.92 6.56 8.2( ) 64 1 1 , B Bm =!or"al con#itions of $ro#uctionClass'() (m * +igher i:erence (m ;3.5 3.85 110 0.35 0.0554 3.85 0.215 5.50 110 0.50 0.0554 5.50 0.307.5 8.25 110 0.75 0.0554 8.25 0.4610 11.00 110 1.00 0.0554 11.00 0.6112.5 13.75 110 1.25 0.0554 13.75 0.7615 16.50 110 1.50 0.0554 16.50 0.9120 22.00 110 2.00 0.0554 22.00 1.2222.5 24.75 110 2.25 0.0554 24.75 1.3725 27.50 110 2.50 0.0554 27.50 1.5227.5 30.25 110 2.75 0.0554 30.25 1.6830 33.00 110 3.00 0.0554 33.00 1.8335 38.50 110 3.50 0.0554 38.50 2.1340 44.00 110 4.00 0.0554 44.00 2.4445 49.50 110 4.50 0.0554 49.50 2.7450 55.00 110 5.00 0.0554 55.00 3.056 3.59.84 5.74 1.1 1.25 1.2