Cusum

11
Initial Plant Parameters Standard deviation 6 MPa (Target Mean Range = 1.128x6 = 7 MPa) Target Mean Strength = fcr =f'c+2SD= 30+2x6= 42 MPa 1 2 3 4 5 6 7 0 0 1 Feb-05 43.00 54.00 12.00 12.00 2 8 28.50 38.00 -4.00 8.00 16.00 3 9 32.00 42.00 0.00 8.00 4.00 4 9 29.00 38.50 -3.50 4.50 3.50 5 10 33.50 43.50 1.50 6.00 5.00 6 11 31.00 41.00 -1.00 5.00 2.50 7 12 33.00 43.00 1.00 6.00 2.00 8 15 25.00 34.00 -8.00 -2.00 9.00 9 16 42.00 53.00 11.00 9.00 19.00 10 17 24.50 33.50 -8.50 0.50 19.50 11 17 25.00 34.00 -8.00 -7.50 0.50 12 19 33.50 43.50 1.50 -6.00 9.50 13 22 32.00 42.00 0.00 -6.00 1.50 14 23 24.50 33.50 -8.50 -14.50 8.50 15 24 28.50 38.00 -4.00 -18.50 4.50 16 25 33.00 43.00 1.00 -17.50 5.00 17 26 30.00 39.50 -2.50 -20.00 3.50 18 Mar-01 34.00 44.00 2.00 -18.00 4.50 19 2 31.00 40.50 -1.50 -19.50 3.50 20 2 32.00 42.00 0.00 -19.50 1.50 21 3 27.50 37.00 -5.00 -24.50 5.00 22 4 24.50 33.50 -8.50 -33.00 3.50 23 5 32.00 42.00 0.00 -33.00 8.50 24 8 24.00 32.50 -9.50 -42.50 9.50 25 9 26.50 35.50 -6.50 -49.00 3.00 26 10 24.00 32,5 (35,00) -9.50 -58.50 3.00 Cement content increased by 15 kg/m3 to restore 26 0 27 12 24.50 33.50 -8.50 -8.50 1.50 28 12 38.50 49.00 7.00 -1.50 15.50 29 13 37.50 48.00 6.00 4.50 1.00 30 13 30.00 39.50 -2.50 2.00 8.50 31 15 26.00 35.00 -7.00 -5.00 4.50 32 17 39.50 50.00 8.00 3.00 15.00 33 18 39.00 49.50 7.50 10.50 0.50 34 19 38.00 48.50 6.50 17.00 1.00 Cube Ref Date Cast Early Result Est. 28 day strength 4 minus target mean strength Cusum M of 5 Range of pair of value of 4

Transcript of Cusum

Page 1: 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

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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

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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

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-28.50-30.00-31.50-38.50-44.50-51.00-53.50

Cement content reduced by 20 kg/m3-1.00

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0.6

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Cusum M

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-25-20-15-10

-505

101520

Cusum R

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Cusum C

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Cusum C