Cusum
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Transcript of Cusum
Initial Plant ParametersStandard deviation 6 MPa (Target Mean Range = 1.128x6 = 7 MPa)Target Mean Strength = fcr =f'c+2SD= 30+2x6= 42 MPa
Date Cast1 2 3 4 5 6 7 80 01 Feb-05 43.00 54.00 12.00 12.002 8 28.50 38.00 -4.00 8.00 16.00 9.003 9 32.00 42.00 0.00 8.00 4.00 -3.004 9 29.00 38.50 -3.50 4.50 3.50 -3.505 10 33.50 43.50 1.50 6.00 5.00 -2.006 11 31.00 41.00 -1.00 5.00 2.50 -4.507 12 33.00 43.00 1.00 6.00 2.00 -5.008 15 25.00 34.00 -8.00 -2.00 9.00 2.009 16 42.00 53.00 11.00 9.00 19.00 12.00
10 17 24.50 33.50 -8.50 0.50 19.50 12.5011 17 25.00 34.00 -8.00 -7.50 0.50 -6.5012 19 33.50 43.50 1.50 -6.00 9.50 2.5013 22 32.00 42.00 0.00 -6.00 1.50 -5.5014 23 24.50 33.50 -8.50 -14.50 8.50 1.5015 24 28.50 38.00 -4.00 -18.50 4.50 -2.5016 25 33.00 43.00 1.00 -17.50 5.00 -2.0017 26 30.00 39.50 -2.50 -20.00 3.50 -3.5018 Mar-01 34.00 44.00 2.00 -18.00 4.50 -2.5019 2 31.00 40.50 -1.50 -19.50 3.50 -3.5020 2 32.00 42.00 0.00 -19.50 1.50 -5.5021 3 27.50 37.00 -5.00 -24.50 5.00 -2.0022 4 24.50 33.50 -8.50 -33.00 3.50 -3.5023 5 32.00 42.00 0.00 -33.00 8.50 1.5024 8 24.00 32.50 -9.50 -42.50 9.50 2.5025 9 26.50 35.50 -6.50 -49.00 3.00 -4.0026 10 24.00 32,5 (35,00) -9.50 -58.50 3.00 -4.00
Cement content increased by 15 kg/m3 to restore mean strength to its target26 027 12 24.50 33.50 -8.50 -8.50 1.50 -5.5028 12 38.50 49.00 7.00 -1.50 15.50 8.5029 13 37.50 48.00 6.00 4.50 1.00 -6.0030 13 30.00 39.50 -2.50 2.00 8.50 1.5031 15 26.00 35.00 -7.00 -5.00 4.50 -2.5032 17 39.50 50.00 8.00 3.00 15.00 8.0033 18 39.00 49.50 7.50 10.50 0.50 -6.5034 19 38.00 48.50 6.50 17.00 1.00 -6.00
Cube Ref
Early Result
Est. 28 day strength
4 minus target mean
strengthCusum M
of 5
Range of pair of
value of 4
7 minus target mean range
35 19 32.00 42.00 0.00 17.00 6.50 -0.5036 22 27.50 36.50 -5.50 11.50 5.50 -1.5037 23 32.00 42.00 0.00 11.50 5.50 -1.5038 24 32.00 42.00 0.00 11.50 0.00 -7.0039 24 33.00 43.00 1.00 12.50 1.00 -6.0040 25 33.50 43.50 1.50 14.00 0.50 -6.5041 26 37.50 48.00 6.00 20.00 4.50 -2.50
Cement content reduced by 20 kg/m342 29 31.50 41.00 2.00 22.00 4.00 -1.00
9 10 11 120
0 53.00 -1.00 -1.009.00 35.00 -3.00 -4.006.00 41.00 -1.00 -5.002.50 38.50 0.00 -5.000.50 43.50 0.00 -5.00-4.00 39.00 -2.00 -7.00-9.00 47.50 4.50 -2.50-7.00 37.50 3.50 1.005.00 53.50 0.50 1.50
17.50 32.50 -1.00 0.5011.00 30.00 -4.00 -3.5013.50 43.50 0.00 -3.508.00 40.50 -1.50 -5.009.50 34.00 0.50 -4.507.00 35.50 -2.50 -7.005.00 41.50 -1.50 -8.501.50 38.50 -1.00 -9.50-1.00 46.50 2.50 -7.00-4.50
-10.00-12.00-15.50-14.00-11.50-15.50-19.50
Cement content increased by 15 kg/m3 to restore mean strength to its target
-25.00-16.50-22.50 51-21.00 9.9-23.50-15.50-22.00-28.00
Cusum R of 8
Actual 28 day
strength
Corr different 10 minus
4Cusum C
of 11
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27
-65-60-55-50-45-40-35-30-25-20-15-10
-505
101520
Cusum M
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27
-25-20-15-10
-505
101520
Cusum R
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
-15-10
-505
Cusum C
-28.50-30.00-31.50-38.50-44.50-51.00-53.50
Cement content reduced by 20 kg/m3-1.00
0.6
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27
-65-60-55-50-45-40-35-30-25-20-15-10
-505
101520
Cusum M
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27
-25-20-15-10
-505
101520
Cusum R
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
-15-10
-505
Cusum C
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42
-65-60-55-50-45-40-35-30-25-20-15-10
-505
10152025
Cusum M
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44
-60-55-50-45-40-35-30-25-20-15-10
-505
10152025
Cusum R
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
-15
-10
-5
0
5
Cusum C
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42
-65-60-55-50-45-40-35-30-25-20-15-10
-505
10152025
Cusum M
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44
-60-55-50-45-40-35-30-25-20-15-10
-505
10152025
Cusum R
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
-15
-10
-5
0
5
Cusum C