More Related Content
More from INDRANIL BANERJEE (20)
EXCEL DATA SHEET
- 1. j i 2i 2j
2j+1-
2i
MS(Ua-
Uw)j
MS^-2(Ua-
Uw)^-2
(2j+1-2i)*(Ua-
Uw)j^-2 Ks/Ksc Ad Kw
0 0 0 0 1 0 0 0
1 0 0 2 3 5.4 0.0342954 0.1028862
5.9668*10^-
8 1
5.83E-
08
2 0 0 4 5 10.8 0.008573 0.042865
3 0 0 6 7 12.55 0.006349 0.044443
4 0 0 8 9 14.3 0.00489 0.04401
5 0 0 10 11 15.5 0.004162 0.045782
6 0 0 12 13 16.7 0.003586 0.046618
7 0 0 14 15 17.65 0.00321 0.04815
8 0 0 16 17 18.6 0.002891 0.049147
9 0 0 18 19 19.5 0.00263 0.04997
10 0 0 20 21 20.4 0.002403 0.050463
11 0 0 22 23 21.4 0.002184 0.050232
12 0 0 24 25 22.4 0.001993 0.049825
13 0 0 26 27 23.35 0.001834 0.049518
14 0 0 28 29 24.3 0.001694 0.049126
15 0 0 30 31 25.25 0.001568 0.048608
16 0 0 32 33 26.2 0.001457 0.048081
17 0 0 34 35 27.65 0.001308 0.04578
18 0 0 36 37 29.1 0.001181 0.043697
19 0 0 38 39 32.65 0.000938 0.036582
20 0 0 40 41 36.2 0.000763 0.031283
0.9770662
i J 2i 2j
2i+1-
2j
MS(Ua-
Uw)j
MS^-2(Ua-
Uw)^-2
(2j+1-2i)*(Ua-
Uw)j^-2 Ks/Ksc Ad Kw
1 1 2 2 1 5.4 0.008573 0.008573
5.9668*10^-
8 1
4.63E-
08
1 2 2 4 3 10.8 0.008573 0.025719 0
1 3 2 6 5 12.55 0.006349 0.031745 0
1 4 2 8 7 14.3 0.00489 0.03423 0
1 5 2 10 9 15.5 0.004162 0.037458 0
1 6 2 12 11 16.7 0.003586 0.039446 0
1 7 2 14 13 17.65 0.00321 0.04173 0
1 8 2 16 15 18.6 0.002891 0.043365 0
1 9 2 18 17 19.5 0.00263 0.04471 0
1 # 2 20 19 20.4 0.002403 0.045657 0
1 # 2 22 21 21.4 0.002184 0.045864 0
1 # 2 24 23 22.4 0.001993 0.045839 0
1 # 2 26 25 23.35 0.001834 0.04585 0
1 # 2 28 27 24.3 0.001694 0.045738 0
- 2. 1 # 2 30 29 25.25 0.001568 0.045472 0
1 # 2 32 31 26.2 0.001457 0.045167 0
1 # 2 34 33 27.65 0.001308 0.043164 0
1 # 2 36 35 29.1 0.001181 0.041335 0
1 # 2 38 37 32.65 0.000938 0.034706 0
1 # 2 40 39 36.2 0.000763 0.029757 0
0.775525 0
i j 2i 2j #VALUE!
MS(Ua-
Uw)j
MS^-2(Ua-
Uw)^-2
(2j+1-2i)*(Ua-
Uw)j^-2 Ks/Ksc Ad Kw
2 2 4 4 1 10.8 0.008573 0.008573
5.9668*10^-
8 1
3.94E-
08
2 3 4 6 3 12.55 0.006349 0.019047
2 4 4 8 5 14.3 0.00489 0.02445
2 5 4 10 7 15.5 0.004162 0.029134
2 6 4 12 9 16.7 0.003586 0.032274
2 7 4 14 11 17.65 0.00321 0.03531
2 8 4 16 13 18.6 0.002891 0.037583
2 9 4 18 15 19.5 0.00263 0.03945
2 10 4 20 17 20.4 0.002403 0.040851
2 11 4 22 19 21.4 0.002184 0.041496
2 12 4 24 21 22.4 0.001993 0.041853
2 13 4 26 23 23.35 0.001834 0.042182
2 14 4 28 25 24.3 0.001694 0.04235
2 15 4 30 27 25.25 0.001568 0.042336
2 16 4 32 29 26.2 0.001457 0.042253
2 17 4 34 31 27.65 0.001308 0.040548
2 18 4 36 33 29.1 0.001181 0.038973
2 19 4 38 35 32.65 0.000938 0.03283
2 20 4 40 37 36.2 0.000763 0.028231
0.659724
i j 2i 2j
2i+1-
2j
MS(Ua-
Uw)j
MS^-
2(Ua-
Uw)^-2
(2j+1-
2i)*(Ua-
Uw)j^-2 Ks/Ksc Ad Kw
3 3 6 6 1 12.55 0.006349 0.006349
5.9668*10^-
8 1
3.35E-
08
3 4 6 8 3 14.3 0.00489 0.01467
3 5 6 10 5 15.5 0.004162 0.02081
3 6 6 12 7 16.7 0.003586 0.025102
3 7 6 14 9 17.65 0.00321 0.02889
3 8 6 16 11 18.6 0.002891 0.031801
3 9 6 18 13 19.5 0.00263 0.03419
- 3. 3 10 6 20 15 20.4 0.002403 0.036045
3 11 6 22 17 21.4 0.002184 0.037128
3 12 6 24 19 22.4 0.001993 0.037867
3 13 6 26 21 23.35 0.001834 0.038514
3 14 6 28 23 24.3 0.001694 0.038962
3 15 6 30 25 25.25 0.001568 0.0392
3 16 6 32 27 26.2 0.001457 0.039339
3 17 6 34 29 27.65 0.001308 0.037932
3 18 6 36 31 29.1 0.001181 0.036611
3 19 6 38 33 32.65 0.000938 0.030954
3 20 6 40 35 36.2 0.000763 0.026705
0.561069
i j 2i 2j
2j+1-
2i
MS(Ua
-Uw)j
MS^-2(Ua-
Uw)^-2
(2j+1-2i)*(Ua-
Uw)j^-2 Ks/Ksc Ad Kw
4 4 8 8 1 14.3 0.00489 0.00489
5.9668*10^
-8 1
2.85E-
08
4 5 8 10 3 15.5 0.004162 0.012486
4 6 8 12 5 16.7 0.003586 0.01793
4 7 8 14 7 17.65 0.00321 0.02247
4 8 8 16 9 18.6 0.002891 0.026019
4 9 8 18 11 19.5 0.00263 0.02893
4
1
0 8 20 13 20.4 0.002403 0.031239
4
1
1 8 22 15 21.4 0.002184 0.03276
4
1
2 8 24 17 22.4 0.001993 0.033881
4
1
3 8 26 19 23.35 0.001834 0.034846
4
1
4 8 28 21 24.3 0.001694 0.035574
4
1
5 8 30 23 25.25 0.001568 0.036064
4
1
6 8 32 25 26.2 0.001457 0.036425
4
1
7 8 34 27 27.65 0.001308 0.035316
4
1
8 8 36 29 29.1 0.001181 0.034249
4
1
9 8 38 31 32.65 0.000938 0.029078
- 4. 4
2
0 8 40 33 36.2 0.000763 0.025179
0.477336
i j 2i 2j
2j-
2i+1
MS(Ua-
Uw)j
MS^-2(Ua-
Uw)^-2
(2j+1-2i)*(Ua-
Uw)j^-2 Ks/Ksc Ad Kw
5 5 10 10 1 15.5 0.004162 0.004162
5.9668*10^-
8 1
2.42E-
08
5 6 10 12 3 16.7 0.003586 0.010758
5 7 10 14 5 17.65 0.00321 0.01605
5 8 10 16 7 18.6 0.002891 0.020237
5 9 10 18 9 19.5 0.00263 0.02367
5 10 10 20 11 20.4 0.002403 0.026433
5 11 10 22 13 21.4 0.002184 0.028392
5 12 10 24 15 22.4 0.001993 0.029895
5 13 10 26 17 23.35 0.001834 0.031178
5 14 10 28 19 24.3 0.001694 0.032186
5 15 10 30 21 25.25 0.001568 0.032928
5 16 10 32 23 26.2 0.001457 0.033511
5 17 10 34 25 27.65 0.001308 0.0327
5 18 10 36 27 29.1 0.001181 0.031887
5 19 10 38 29 32.65 0.000938 0.027202
5 20 10 40 31 36.2 0.000763 0.023653
0.404842
i j 2i 2j
2j+1-
2i
MS(Ua-
Uw)j
MS^-2(Ua-
Uw)^-2
(2j+1-2i)*(Ua-
Uw)j^-2 Ks/Ksc Ad Kw
6 6
1
2 12 1 16.7 0.003586 0.003586
5.9668*10^
-8 1
2.04E-
08
6 7
1
2 14 3 17.65 0.00321 0.00963 0
6 8
1
2 16 5 18.6 0.002891 0.014455
6 9
1
2 18 7 19.5 0.00263 0.01841
- 5. 6
1
0
1
2 20 9 20.4 0.002403 0.021627
6
1
1
1
2 22 11 21.4 0.002184 0.024024
6
1
2
1
2 24 13 22.4 0.001993 0.025909
6
1
3
1
2 26 15 23.35 0.001834 0.02751
6
1
4
1
2 28 17 24.3 0.001694 0.028798
6
1
5
1
2 30 19 25.25 0.001568 0.029792
6
1
6
1
2 32 21 26.2 0.001457 0.030597
6
1
7
1
2 34 23 27.65 0.001308 0.030084
6
1
8
1
2 36 25 29.1 0.001181 0.029525
6
1
9
1
2 38 27 32.65 0.000938 0.025326
6
2
0
1
2 40 29 36.2 0.000763 0.022127
0.3414
i j 2i 2j
2j+1-
2i
MS(Ua-
Uw)j
MS^-
2(Ua-
Uw)^-2
(2j+1-
2i)*(Ua-
Uw)j^-2 Ks/Ksc Ad Kw
7 7 14 14 1 17.65 0.00321 0.00321
5.9668*10^-
8 1
1.70E-
08
7 8 14 16 3 18.6 0.002891 0.008673
7 9 14 18 5 19.5 0.00263 0.01315
7 10 14 20 7 20.4 0.002403 0.016821
7 11 14 22 9 21.4 0.002184 0.019656
7 12 14 24 11 22.4 0.001993 0.021923
7 13 14 26 13 23.35 0.001834 0.023842
7 14 14 28 15 24.3 0.001694 0.02541
7 15 14 30 17 25.25 0.001568 0.026656
7 16 14 32 19 26.2 0.001457 0.027683
7 17 14 34 21 27.65 0.001308 0.027468
7 18 14 36 23 29.1 0.001181 0.027163
7 19 14 38 25 32.65 0.000938 0.02345
7 20 14 40 27 36.2 0.000763 0.020601
0.285706
- 6. i j 2i 2j
2j+1-
2i
MS(Ua-
Uw)j
MS^-2(Ua-
Uw)^-2
(2j+1-2i)*(Ua-
Uw)j^-2 Ks/Ksc Ad Kw
8 8 16 16 1 18.6 0.002891 0.002891
5.9668*10^-
8 1
1.41E-
08
8 9 16 18 3 19.5 0.00263 0.00789
8 # 16 20 5 20.4 0.002403 0.012015
8 # 16 22 7 21.4 0.002184 0.015288
8 # 16 24 9 22.4 0.001993 0.017937
8 # 16 26 11 23.35 0.001834 0.020174
8 # 16 28 13 24.3 0.001694 0.022022
8 # 16 30 15 25.25 0.001568 0.02352
8 # 16 32 17 26.2 0.001457 0.024769
8 # 16 34 19 27.65 0.001308 0.024852
8 # 16 36 21 29.1 0.001181 0.024801
8 # 16 38 23 32.65 0.000938 0.021574
8 # 16 40 25 36.2 0.000763 0.019075
0.236808
i j 2i 2j 2j+1-2i
MS(Ua-
Uw)j
MS^-2(Ua-
Uw)^-2
(2j+1-
2i)*(Ua-
Uw)j^-2 Ks/Ksc Ad Kw
9 9 18 18 1 19.5 0.00263 0.00263
5.9668*10^-
8 1
1.16E-
08
9 10 18 20 3 20.4 0.002403 0.007209
9 11 18 22 5 21.4 0.002184 0.01092
9 12 18 24 7 22.4 0.001993 0.013951
9 13 18 26 9 23.35 0.001834 0.016506
9 14 18 28 11 24.3 0.001694 0.018634
9 15 18 30 13 25.25 0.001568 0.020384
9 16 18 32 15 26.2 0.001457 0.021855
9 17 18 34 17 27.65 0.001308 0.022236
9 18 18 36 19 29.1 0.001181 0.022439
9 19 18 38 21 32.65 0.000938 0.019698
9 20 18 40 23 36.2 0.000763 0.017549
0.194011
- 7. i j 2i 2j
2i+1-
2j
MS(Ua-
Uw)j
MS^-2(Ua-
Uw)^-2
(2j+1-2i)*(Ua-
Uw)j^-2 Ks/Ksc Ad Kw
10 10 20 20 1 20.4 0.002403 0.002403
5.9668*10^-
8 1
9.35E-
09
10 11 20 22 3 21.4 0.002184 0.006552
10 12 20 24 5 22.4 0.001993 0.009965
10 13 20 26 7 23.35 0.001834 0.012838
10 14 20 28 9 24.3 0.001694 0.015246
10 15 20 30 11 25.25 0.001568 0.017248
10 16 20 32 13 26.2 0.001457 0.018941
10 17 20 34 15 27.65 0.001308 0.01962
10 18 20 36 17 29.1 0.001181 0.020077
10 19 20 38 19 32.65 0.000938 0.017822
10 20 20 40 21 36.2 0.000763 0.016023
0.156735
i j 2i 2j
2j+1
-2i
MS(Ua-
Uw)j
MS^-2(Ua-
Uw)^-2
(2j+1-2i)*(Ua-
Uw)j^-2 Ks/Ksc
A
d Kw
1
1
1
1 22 22 1 21.4 0.002184 0.002184
5.9668*10^
-8 1
7.42E-
09
1
1
1
2 22 24 3 22.4 0.001993 0.005979
1
1
1
3 22 26 5 23.35 0.001834 0.00917
1
1
1
4 22 28 7 24.3 0.001694 0.011858
1
1
1
5 22 30 9 25.25 0.001568 0.014112
1
1
1
6 22 32 11 26.2 0.001457 0.016027
1
1
1
7 22 34 13 27.65 0.001308 0.017004
1
1
1
8 22 36 15 29.1 0.001181 0.017715
1
1
1
9 22 38 17 32.65 0.000938 0.015946
1
1
2
0 22 40 19 36.2 0.000763 0.014497
0.124492
- 8. i j 2i 2j
2j+1-
2i
MS(Ua-
Uw)j
MS^-
2(Ua-
Uw)^-2
(2j+1-
2i)*(Ua-
Uw)j^-2 Ks/Ksc Ad Kw
12 12 24 24 1 22.4 0.001993 0.001993
5.9668*10^-
8 1
5.78E-
09
12 13 24 26 3 23.35 0.001834 0.005502
12 14 24 28 5 24.3 0.001694 0.00847
12 15 24 30 7 25.25 0.001568 0.010976
12 16 24 32 9 26.2 0.001457 0.013113
12 17 24 34 11 27.65 0.001308 0.014388
12 18 24 36 13 29.1 0.001181 0.015353
12 19 24 38 15 32.65 0.000938 0.01407
12 20 24 40 17 36.2 0.000763 0.012971
0.096836
i j 2i 2j
2j+1-
2i
MS(Ua
-Uw)j
MS^-2(Ua-
Uw)^-2
(2j+1-
2i)*(Ua-
Uw)j^-2 Ks/Ksc
A
d Kw
1
3
1
3 26 26 1 23.35 0.001834 0.001834
5.9668*10^
-8 1
4.38E-
09
1
3
1
4 26 28 3 24.3 0.001694 0.005082
1
3
1
5 26 30 5 25.25 0.001568 0.00784
1
3
1
6 26 32 7 26.2 0.001457 0.010199
1
3
1
7 26 34 9 27.65 0.001308 0.011772
1
3
1
8 26 36 11 29.1 0.001181 0.012991
1
3
1
9 26 38 13 32.65 0.000938 0.012194
1
3
2
0 26 40 15 36.2 0.000763 0.011445
0.073357
i j 2i 2j
2j+1-
2i
MS(Ua-
Uw)j
MS^-2(Ua-
Uw)^-2
(2j+1-2i)*(Ua-
Uw)j^-2 Ks/Ksc Ad Kw
14 14 28 28 1 24.3 0.001694 0.001694
5.9668*10^-
8 1
3.20E-
09
14 15 28 30 3 25.25 0.001568 0.004704
- 9. 14 16 28 32 5 26.2 0.001457 0.007285
14 17 28 34 7 27.65 0.001308 0.009156
14 18 28 36 9 29.1 0.001181 0.010629
14 19 28 38 11 32.65 0.000938 0.010318
14 20 28 40 13 36.2 0.000763 0.009919
0.053705
i j 2i 2j
2j+1-
2i
MS(Ua-
Uw)j
MS^-2(Ua-
Uw)^-2
(2j+1-2i)*(Ua-
Uw)j^-2 Ks/Ksc Ad Kw
15 15 30 30 1 25.25 0.001568 0.001568
5.9668*10^-
8 1
2.24E-
09
15 16 30 32 3 26.2 0.001457 0.004371
15 17 30 34 5 27.65 0.001308 0.00654
15 18 30 36 7 29.1 0.001181 0.008267
15 19 30 38 9 32.65 0.000938 0.008442
15 20 30 40 11 36.2 0.000763 0.008393
0.037581
i j 2i 2j
2j+1-
2i
MS(Ua-
Uw)j
MS^-2(Ua-
Uw)^-2
(2j+1-2i)*(Ua-
Uw)j^-2 Ks/Ksc Ad Kw
16 16 32 32 1 26.2 0.001457 0.001457
5.9668*10^-
8 1
1.48E-
09
16 17 32 34 3 27.65 0.001308 0.003924
16 18 32 36 5 29.1 0.001181 0.005905
16 19 32 38 7 32.65 0.000938 0.006566
16 20 32 40 9 36.2 0.000763 0.006867
0.024719
i j 2i 2j
2j+1
-2i
MS(Ua-
Uw)j
MS^-2(Ua-
Uw)^-2
(2j+1-2i)*(Ua-
Uw)j^-2 Ks/Ksc
A
d Kw
17 17
3
4 34 1 27.65 0.001308 0.001308 5.9668*10^-8 1
8.88E-
10
17 18
3
4 36 3 29.1 0.001181 0.003543
17 19
3
4 38 5 32.65 0.000938 0.00469
17 20
3
4 40 7 36.2 0.000763 0.005341
0.014882
- 10. i j 2i 2j
2j+1-
2j
MS(Ua-
Uw)j
MS^-2(Ua-
Uw)^-2
(2j+1-2i)*(Ua-
Uw)j^-2 Ks/Ksc Ad Kw
18 18 36 36 1 29.1 0.001181 0.001181
5.9668*10^-
8 1
4.66E-
10
18 19 36 38 3 32.65 0.000938 0.002814
18 20 36 40 5 36.2 0.000763 0.003815
0.00781
i j 2i 2j
2j+1-
2i
MS(Ua-
Uw)j
MS^-2(Ua-
Uw)^-2
(2j+1-
2i)*(Ua-
Uw)j^-2 Ks/Ksc Ad Kw
19 19 38 38 1 32.65 0.000938 0.000938
5.9668*10^-
8 1
1.93E-
10
19 20 38 40 3 36.2 0.000763 0.002289
0.003227
i j 2i 2j
2j+1-
2i
MS(Ua-
Uw)j
MS^-
2(Ua-
Uw)^-2
(2j+1-2i)*(Ua-
Uw)j^-2 Ks/Ksc Ad Kw
20 20 40 40 1 36.2 0.000763 0.000763
5.9668*10^-
8 1
4.55E-
11