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UNIVERSITAS TADULAKO Nama
: Budi Arya .S
FAKULTAS TEKNIK Stambuk : F 121 17 052
PROGRAM STUDI TEKNIK GEOLOGI Acara 2 : Analisis Ukuran Butir
Soal 1
a. Metode Moment
Grain Size -1,00
W
D
WxD
(D-m)2
(D-m)3
(D-m)4
W(D-m)2
W(D-m)3
W(D-m)4
0,92
-0,75
-0,69
3,87
-7,61
14,97
3,56
-7,00
13,77
-0,50
2,12
-0,25
-0,53
2,15
-3,16
4,63
4,56
-6,69
9,82
0,00
5,12
0,25
1,28
0,94
-0,90
0,87
4,79
-4,63
4,48
0,50
7,72
0,75
5,79
0,22
-0,10
0,05
1,68
-0,79
0,37
1,00
8,82
1,25
11,03
0,00
0,00
0,00
0,01
0,00
0,00
1,50
7,42
1,75
12,99
0,28
0,15
0,08
2,11
1,12
0,60
2,00
4,62
2,25
10,40
1,07
1,10
1,14
4,93
5,09
5,26
2,50
1,82
2,75
5,01
2,35
3,60
5,52
4,28
6,56
10,05
3,00
0,82
3,25
2,67
4,13
8,40
17,08
3,39
6,89
14,01
3,50
39,38
29,31
0,55
58,35
MEAN
=
=
47,93
∑ 𝑊𝑥𝐷 ∑𝑊
STD
47,93
=√
39,38
= 1,21 (Medium sand)
SKW
=
=
∑ 𝑊(𝐷−𝑚)3 ∑𝑊 𝑆𝑇𝐷3
0,55 39,38
0,63
= 0,02 (Near-symmetrical)
=√
∑ 𝑊(𝐷−𝑚)2 ∑𝑊 29,31 39,38
= 0,86 (Moderately sorted)
KURTOSIS
=
=
∑ 𝑊(𝐷−𝑚)4 ∑𝑊 𝑆𝑇𝐷4
58,35 39,38
0,54
= 2,74 (Very leptokurtic)
Grain Size -1,00 -0,50 0,00 0,50 1,00 1,50 2,00 2,50 3,00
W 0,92 2,12 5,12 7,20 8,82 7,42 4,62 1,82 0,82 38,86
Weight(%) 2,37 5,46 13,18 18,53 22,70 19,09 11,89 4,68 2,11 100
Kumulatif(%) 2,37 7,82 21,00 39,53 62,22 81,32 93,21 97,89 100
100.00
Kumulatif (%)
y = 14.418e0.8752x
10.00
1.00 -2.00
-1.00
0.00
1.00
Grain Size
2.00
3.00
4.00
DIAGRAM HISTOGRAM comulative Frequency Weight (%)
32.00
16.00
18.53
22.70
19.09
13.18
11.89
8.00
5.46
4.00
2.00
4.68
2.37
2.11
1.00 -1.00 -0.50 0.00
0.50
1.00
1.50
2.00
2.50
Grain Size Class
b. Metode Inman Mean
= =
𝑃16+𝑃84 2 0,12+2,01
2 = 1,07 (Medium sand)
Standar Deviasi
= =
𝑃84−𝑃16 2 2,01−0,12
2 = 0,95 (Moderately sorted)
Skewness
= =
𝑃16+𝑃84−2𝑃50 𝑃84−𝑃16 0,12+2,01−2(2,01) 2,01−0,12
= -0,37 (Very course-skewed) Kurtosis
= =
(𝑃95−𝑃5)−(𝑃84−𝑃16) 𝑃84−𝑃16 (2,15−(−1,21))−(2,01−0,12) 2,01−0,12
= 0,78 (mesokurtic)
3.00
c. Metode Folk & Ward Mean
= =
𝑃16+𝑃50+𝑃84 3 0,12+1,42+2,01
3 = 1,18 (Medium sand)
StandarDeviasi
= =
𝑃84−𝑃16
+
4 2,01−0,12
𝑃95−𝑃5 6,6 2,15−(−1,21)
+ 4 6,6 = 0,98 (Moderately sorted) Skewness
=
=
𝑃16+𝑃84−2𝑃50 2(𝑃84−𝑃16)
0,12+2,01−2,01 2(2,01−0,12)
+
+
(𝑃5+𝑃95)−2𝑃50 2(𝑃95+𝑃5)
((−1,21)+2,15)−2,01 2(2,15+(−2,01))
= -1,19 (Very course-skewed) Kurtosis
=
=
𝑃95−𝑃5 2,44(𝑃75−𝑃25) 2,15−(−1,21)
2,44(1,88−0,63)
= 1,10 (Mesokurtic)
UNIVERSITAS TADULAKO Nama
: Budi Arya .S
FAKULTAS TEKNIK Stambuk : F 121 17 052
PROGRAM STUDI TEKNIK GEOLOGI Acara 2 : Analisis Ukuran Butir
Soal 2
a. Metode Moment Grain Size
W
D
WxD
(D-m)2
-2,00 -1,00 0,00 1,00 2,00 3,00 4,00 5,00 6,00 7,00 8,00 9,00
1,12 1,52 2,02 3,32 5,52 6,52 7,52 6,52 4,32 1,62 1,02 41,02
-1,50 -0,50 0,50 1,50 2,50 3,50 4,50 5,50 6,50 7,50 12,50
-1,68 -0,76 1,01 4,98 13,80 22,82 33,84 35,86 28,08 12,15 12,75 162,85
29,92 19,98 12,04 6,10 2,16 0,22 0,28 2,34 6,40 12,46 72,76
Mean
=
=
∑ 𝑊𝑥𝐷 ∑𝑊
(D-m)3 163,67 -89,32 -41,78 -15,07 -3,18 -0,10 0,15 3,58 16,19 43,99 620,65
(D-m)4
W(D-m)2
W(D-m)3
W(D-m)4
(D-m)
895,27 399,24 144,99 37,22 4,67 0,05 0,08 5,48 40,97 155,27 72,76
33,51 30,37 24,32 20,26 11,93 1,44 2,11 15,26 27,65 20,19 74,22 261,26
-183,31 -135,76 -84,40 -50,03 -17,53 -0,68 1,12 23,35 69,96 71,26 633,06 327,04
1002,70 606,85 292,87 123,58 25,78 0,32 0,59 35,73 176,99 251,54 74,22 2591,16
-5,47 -4,47 -3,47 -2,47 -1,47 -0,47 0,53 1,53 2,53 3,53 8,53
STD
162,85
=√
41,02
= 3,97 (Very fine sand)
SKW
=
=
∑ 𝑊(𝐷−𝑚)3 ∑𝑊 𝑆𝑇𝐷3
327,04 40,02
16,00
= 0,51 (Very fine-skewed)
=√
∑ 𝑊(𝐷−𝑚)2 ∑𝑊 261,26 41,02
= 2,52 (Very poorly sorted)
KURTOSIS
=
=
∑ 𝑊(𝐷−𝑚)4 ∑𝑊 𝑆𝑇𝐷4
2591,16 41,02
40,32
= 1,56 (Very leptokurtic)
Grain Size Class -2,00 -1,00 0,00 1,00 2,00 3,00 4,00 5,00 6,00 7,00 8,00 9,00
W 1,12 1,52 2,02 3,32 5,52 6,52 7,52 6,52 4,32 1,62 1,02 41,02
Weight(%) 2,73 3,71 4,92 8,09 13,46 15,89 18,33 15,89 10,53 3,95 2,49 100,00
Kumulatif(%) 2,73 6,44 11,36 19,45 32,91 48,81 67,14 83,03 93,56 97,51 100,00
100.00
Komulatif %
y = 10.974e0.3529x
-2.50
10.00
1.00 -0.50
1.50
3.50
Grain Size
5.50
7.50
9.50
DIAGRAM HISTOGRAM 32.00
16.00
Axis Title
13.46
15.89
18.33
15.89 10.53
8.00
8.09 4.92
4.00
3.95
3.71 2.00
2.73
2.49
1.00 -2.00 -1.00 0.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00
Axis Title
b.
Metode Inman Mean
= =
𝑃16+𝑃84 2 1,33+6,25
2 = 3,79 (Very fine sand)
StandarDeviasi
= =
𝑃84−𝑃16 2 6,25−1,33
2 = 2,46 (Very poorly sorted)
Skewness
= =
𝑃16+𝑃84−2𝑃50 𝑃84−𝑃16 1,33+6,25−2(9,3) 6,25−1,33
= -0,35 (Very coarse-skewed) Kurtosis
= =
(𝑃95−𝑃5)−(𝑃84−𝑃16) 𝑃84−𝑃16 (6,62−(−2,41))−(6,25−1,33) 6,62−1,33
= 0,84 (Platykurtic) c. Metode Folk & Ward Mean
= =
𝑃16+𝑃50+𝑃84 3 1,33+4,65+6,25
3 = 4,08 (coarse silt)
StandarDeviasi
= =
𝑃84−𝑃16
+
4 6,25−1,33
𝑃95−𝑃5 6,6 6,62−(−2,41)
+ 4 6,6 = 2,60 (Very poorly sorted) Skewness
=
=
𝑃16+𝑃84−2𝑃50 2(𝑃84−𝑃16)
1,33+6,25−9,3 2(6,25−1,33)
+
+
(𝑃5+𝑃95)−2𝑃50 2(𝑃95+𝑃5)
(−2,41)+6,62)−9,3 2(6,62+(−2,41)
= -0,78 (Very coarse-skewed) Kurtosis
=
=
𝑃95−𝑃5 2,44(𝑃75−𝑃25) 6,62−(−2,41)
2,44(5,90−2,53)
= 1,10 ( Mesokurtic)
UNIVERSITAS TADULAKO Nama
: Budi Arya .S
FAKULTAS TEKNIK Stambuk : F 121 17 052
PROGRAM STUDI TEKNIK GEOLOGI Acara 2 : Analisis Ukuran Butir
Soal 3
a. Metode Moment Grain Size -1,00 -0,50 0,00 0,50 1,00 1,50 2,00 2,50 3,00 3,50 4,00 4,50
Mean
W 1,02 1,52 1,92 3,12 5,12 7,72 8,82 7,52 4,62 1,82 0,82 44,02
=
=
D -0,75 -0,25 0,25 0,75 1,25 1,75 2,25 2,75 3,25 3,75 6,25
WxD -0,77 -0,38 0,48 2,34 6,40 13,51 19,85 20,68 15,02 6,83 5,13 89,08
(D-m)2 7,69 5,17 3,15 1,62 0,60 0,07 0,05 0,53 1,50 2,98 17,86
∑ 𝑊𝑥𝐷 ∑𝑊
(D-m)3 -21,33 -11,75 -5,58 -2,07 -0,46 -0,02 0,01 0,38 1,84 5,15 75,50
(D-m)4 59,17 26,72 9,89 2,63 0,36 0,01 0,00 0,28 2,26 8,88 17,86
W(D-m)2 7,85 7,86 6,04 5,06 3,06 0,58 0,45 3,97 6,95 5,42 14,65 61,89
STD
89,08
= 2,02 (Fine sand)
SKW
=
=
23,48 44,02
1,64
= 0,32 (very Fine-skewed)
=√ =√
44,02
∑ 𝑊(𝐷−𝑚)3 ∑𝑊 𝑆𝑇𝐷3
W(D-m)3 -21,76 -17,86 -10,71 -6,44 -2,37 -0,16 0,10 2,88 8,52 9,37 61,91 23,48
W(D-m)4 60,36 40,61 18,99 8,21 1,83 0,04 0,02 2,09 10,45 16,17 14,65 173,43
∑ 𝑊(𝐷−𝑚)2 ∑𝑊 61,89 44,02
= 1,18 (Poorly sorted)
KURTOSIS
=
=
∑ 𝑊(𝐷−𝑚)4 ∑𝑊 𝑆𝑇𝐷4
173,43 44,02
1,93
= 2,04 (Very leptokurtic)
Grain Size Class -1,00
W 1,02
Weight(%) 2,32
Kumulatif(%) 2,32
-0,50
1,52
3,45
5,77
0,00 0,50 1,00
1,92 3,12 5,12
4,36 7,09 11,63
10,13 17,22 28,85
1,50 2,00 2,50
7,72 8,82 7,52
17,54 20,04 17,08
46,39 66,42 83,51
3,00
4,62
10,50
94,00
3,50 4,00 4,50
1,82 0,82 44,02
4,13 1,86 100,00
98,14 100,00
100.00
Komulatif %
y = 9.7586e0.7424x
10.00
1.00 -2.00
-1.00
0.00
1.00
2.00
Grain Size
3.00
4.00
5.00
DIAGRAM HISTOGRAM 32.00
Axis Title
16.00
17.54 20.04 17.08 11.63
8.00 4.00 2.00
10.50
7.09 3.45
4.36
4.13
2.32
1.86
1.00 -1.00 -0.50 0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.50 4.00
Axis Title
b. Metode Inman Mean
= =
𝑃16+𝑃84 2 0,67+2,90
2 = 1,78 (Medium sand)
StandarDeviasi
= =
𝑃84−𝑃16 2 2,90−0,67
2 = 1,12 (Poorly sorted)
Skewness
= =
𝑃16+𝑃84−2𝑃50 𝑃84−𝑃16 0,67+2,90−2(2,20) 2,90−0,67
= -0,37 (Very coarse-skewed) Kurtosis
= =
(𝑃95−𝑃5)−(𝑃84−𝑃16) 𝑃84−𝑃16 (3,07−(−0,90)−(2,90−0,67) 2,90−0,67
= 0,78 (Platykurtic)
c. Metode Folk & Ward Mean
= =
𝑃16+𝑃50+𝑃84 3 0,67+2,20+2,90
3 = 1,92 (Medium sand)
StandarDeviasi
= =
𝑃84−𝑃16
+
4 2,90−0,67
𝑃95−𝑃5 6,6 3,07−(−0,90
+ 4 6,6 = 1,16 (Poorly sorted) Skewness
=
=
𝑃16+𝑃84−2𝑃50 2(𝑃84−𝑃16)
+
0,67+2,90−2(2,20) 2(2,90−0,67)
(𝑃5+𝑃95)−2𝑃50 2(𝑃95+𝑃5)
+
−0,90+3,07−2(2,20) 2(3,07+(−0,90)
= -0,70 (Very coarse-skewed) Kurtosis
=
=
𝑃95−𝑃5 2,44(𝑃75−𝑃25) 3,07−(−0,90)
2,44(2,75−1,27) = 1,10 (Mesokurtic)
UNIVERSITAS TADULAKO Nama
: Budi Arya .S
FAKULTAS TEKNIK Stambuk : F 121 17 052
PROGRAM STUDI TEKNIK GEOLOGI Acara 2 : Analisis Ukuran Butir
Soal 4
a. Metode Moment Grain Size W -2,00 0,92 -1,50 1,52 -1,00 2,02 -0,50 10,02 0,00 12,32 0,50 8,72 1,00 5,12 1,50 2,92 2,00 1,62 2,50 1,02 3,00 0,82 3,50 47,02
Mean
D -1,75 -1,25 -0,75 -0,25 0,25 0,75 1,25 1,75 2,25 2,75 4,75
=
=
WxD -1,61 -1,90 -1,52 -2,51 3,08 6,54 6,40 5,11 3,65 2,81 3,90 23,95
(D-m)2 5,10 3,09 1,59 0,58 0,07 0,06 0,55 1,54 3,03 5,02 17,98
∑ 𝑊𝑥𝐷 ∑𝑊
(D-m)3 -11,53 -5,44 -2,00 -0,44 -0,02 0,01 0,41 1,91 5,27 11,25 76,27
(D-m)4 26,05 9,58 2,51 0,33 0,00 0,00 0,30 2,37 9,18 25,21 17,98
W(D-m)2 4,70 4,70 3,20 5,78 0,83 0,51 2,81 4,50 4,91 5,12 14,75 51,79
STD
23,95
= 0,50 (Coarse sand)
SKW
=
=
51,79 47,02
1,33
= 0,82 (very fine-skewed)
=√ =√
47,02
∑ 𝑊(𝐷−𝑚)3 ∑𝑊 𝑆𝑇𝐷3
W(D-m)3 -10,61 -8,28 -4,03 -4,39 -0,21 0,12 2,08 5,58 8,55 11,48 62,54 62,82
W(D-m)4 23,97 14,56 5,08 3,33 0,06 0,03 1,54 6,92 14,88 25,71 14,75 110,82
∑ 𝑊(𝐷−𝑚)2 ∑𝑊 51,79 47,02
= 1,10 (Poorly sorted)
KURTOSIS
=
=
∑ 𝑊(𝐷−𝑚)4 ∑𝑊 𝑆𝑇𝐷4
110,82 47,02
1,46
= 1,61 (Very leptokurtic)
Grain Size Class -2,00 -1,50 -1,00 -0,50 0,00 0,50 1,00 1,50 2,00 2,50 3,00 3,50
W 0,92 1,52 2,02 10,02 12,32 8,72 5,12 2,92 1,62 1,02 0,82 47,02
Weight(%) 1,96 3,23 4,30 21,31 26,20 18,55 10,89 6,21 3,45 2,17 1,74 100,00
Kumulatif(%) 1,96 5,19 9,49 30,80 57,00 75,54 86,43 92,64 96,09 98,26 100,00
100.00
Komulatif %
y = 24.11e0.7454x
10.00
1.00 -3.00
-2.00
-1.00
0.00
1.00
Grain Size
2.00
3.00
4.00
DIAGRAM HISTOGRAM 32.00
26.20 21.31
Axis Title
16.00
18.55 10.89
8.00
6.21 4.00
4.30 3.45
3.23 2.00
2.17
1.96
1.74
1.00 -2.00
-1.50
-1.00
-0.50
0.00
0.50
1.00
1.50
Axis Title
b. Metode Inman Mean
= =
𝑃16+𝑃84 2 −0,55+1,67
2 = 3,42 (Very fine sand)
StandarDeviasi
= =
𝑃84−𝑃16 2 1,67−(−0,55)
2 = 1,10 (Poorly sorted)
Skewness
= =
𝑃16+𝑃84−2𝑃50 𝑃84−𝑃16
-
−0,55+1,67−2(−0,55) 4,52−2,32
= -0,37 (Very coarse-skewed) Kurtosis
= =
(𝑃95−𝑃5)−(𝑃84−𝑃16) 𝑃84−𝑃16 (1,84−(−2,11)−(1,67−(−0,55) 1,67−(0,55)
2.00
2.50
3.00
= 0,78 (Platykurtic) c. Metode Folk & Ward Mean
= =
𝑃16+𝑃50+𝑃84 3 −0,55+0,98+1,67
3 = 3,56 (Fine sand)
StandarDeviasi
Skewness
=
𝑃84−𝑃16
+
𝑃95−𝑃5
4 6,6 1,67−(−0,55 1,84−(−2,11) = + 4 6,6 = 1,14 ( Poorly sorted)
=
=
𝑃16+𝑃84−2𝑃50 2(𝑃84−𝑃16)
+
−0,55+1,67−0,98 2(4,53−2,32)
(𝑃5+𝑃95)−2𝑃50
+
2(𝑃95+𝑃5) (0,98+1,84)−0,98 2(4,68+(−2,11)
= -0,37 (Very coarse-skewed) Kurtosis
=
=
𝑃95−𝑃5 2,44(𝑃75−𝑃25) 1,84−(−2,11)
2,44(1,52−(0,05)
= 1,10 (Mesokurtic)
Nama
UNIVERSITAS TADULAKO FAKULTAS TEKNIK PROGRAM STUDI TEKNIK GEOLOGI Acara 2 : Analisis Ukuran Butir
: Budi Arya .S
Stambuk : F 121 17 052
Soal 5
a. Metode Moment Grain Size -2,00 -1,50 -1,00 -0,50 0,00 0,50 1,00 1,50 2,00 2,50 3,00 3,50 4,00 4,50 5,00 5,50 6,00 6,50 7,00 7,50 8,00 8,50
Mean
W 0,62 0,72 1,42 2,12 2,02 1,42 1,82 2,92 3,92 4,72 5,12 5,12 4,62 3,72 2,72 1,72 1,52 2,22 2,22 1,22 0,62 52,52
D -1,75 -1,25 -0,75 -0,25 0,25 0,75 1,25 1,75 2,25 2,75 4,75 3,75 4,25 4,75 5,25 5,75 6,25 6,75 7,25 7,75 8,25
=
=
WxD -1,09 -0,90 -1,07 -0,53 0,51 1,07 2,28 5,11 8,82 12,98 24,32 19,20 19,64 17,67 14,28 9,89 9,50 14,99 16,10 9,46 5,12 187,32
(D-m)2 28,27 23,20 18,63 14,57 11,00 7,93 5,37 3,30 1,73 0,67 1,40 0,03 0,47 1,40 2,83 4,77 7,20 10,13 13,57 17,50 21,93
∑ 𝑊𝑥𝐷 ∑𝑊
(D-m)3 -150,28 -111,75 -80,43 -55,60 -36,48 -22,35 -12,43 -6,00 -2,28 -0,54 1,66 0,01 0,32 1,66 4,77 10,41 19,32 32,26 49,97 73,21 102,72
(D-m)4 799,00 538,24 347,20 212,19 121,00 62,94 28,80 10,89 3,01 0,44 1,96 0,00 0,22 1,96 8,03 22,72 51,85 102,69 184,07 306,27 481,09
STD
187,32
= 3,56 (Very fine sand)
SKW
=
=
−554,31 52,52
28,93
=√ =√
52,52
∑ 𝑊(𝐷−𝑚)3 ∑𝑊 𝑆𝑇𝐷3
W(D-m)2 17,53 16,70 26,46 30,88 22,22 11,27 9,77 9,64 6,80 3,15 7,17 0,17 2,16 5,21 7,71 8,20 10,94 22,50 30,12 21,35 13,60 161,57
W(D-m)3 -93,18 -80,46 -114,22 -117,86 -73,70 -31,73 -22,63 -17,51 -8,95 -2,57 8,48 0,03 1,47 6,16 12,97 17,90 29,37 71,62 110,94 89,32 63,69 -554,31
W(D-m)4 495,38 387,53 493,03 449,84 244,42 89,37 52,42 31,80 11,78 2,10 10,04 0,01 1,01 7,29 21,84 39,09 78,81 227,98 408,63 373,65 298,28 2267,73
∑ 𝑊(𝐷−𝑚)2 ∑𝑊 161,57 52,52
= 3,07 (Very poorly sorted)
KURTOSIS
=
=
∑ 𝑊(𝐷−𝑚)4 ∑𝑊 𝑆𝑇𝐷4
2267,73 52,52
88,82
= -0,36 (Very coarse-skewed)
Grain Size Class -2,00 -1,50 -1,00 -0,50 0,00 0,50 1,00 1,50 2,00 2,50 3,00 3,50 4,00 4,50 5,00 5,50 6,00 6,50 7,00 7,50 8,00 8,50
W 0,62 0,72 1,42 2,12 2,02 1,42 1,82 2,92 3,92 4,72 5,12 5,12 4,62 3,72 2,72 1,72 1,52 2,22 2,22 1,22 0,62 52,52
= 0,48 (Very platykurtic)
Weight(%) 1,18 1,37 2,70 4,04 3,85 2,70 3,47 5,56 7,46 8,99 9,75 9,75 8,80 7,08 5,18 3,27 2,89 4,23 4,23 2,32 1,18 100,00
Kumulatif(%) 1,18 2,55 5,26 9,29 13,14 15,84 19,31 24,87 32,33 41,32 51,07 60,81 69,61 76,69 81,87 85,15 88,04 92,27 96,50 98,82 100,00
100.00
Komulatif %
y = 9.739e0.3833x
10.00
-4.00
-2.00
0.00
2.00
1.00
4.00
6.00
8.00
10.00
Grain Size
DIAGRAM HISTOGRAM 16.00
Axis Title
8.00
8.999.759.758.80 7.46 7.08 5.56 5.18
4.00
4.234.23 3.27 2.89 2.32 1.18
4.043.85 3.47 2.70 2.70
2.00
1.181.37
-2.00 -1.50 -1.00 -0.50 0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.50 4.00 4.50 5.00 5.50 6.00 6.50 7.00 7.50 8.00
1.00
Axis Title
b. Metode Inman Mean
= =
𝑃16+𝑃84 2 1,30+5,62
2 = 3,46 ( Very fine sand)
StandarDeviasi
=
𝑃84−𝑃16 2
=
5,62−1,30
2 = 2,16 (very Poorly sorted)
Skewness
= =
𝑃16+𝑃84−2𝑃50 𝑃84−𝑃16 1,60+5,62−2(4,27) 5,62−1,30
= -0,37 (Very coarse-skewed) Kurtosis
= =
(𝑃95−𝑃5)−(𝑃84−𝑃16) 𝑃84−𝑃16 (5,94−(−1,74))−(5,62−1,30) 5,62−1,30
= 0,78 (Platykurtic)
c. Metode Folk & Ward Mean
= =
𝑃16+𝑃50+𝑃84 3 1,30+4,27+5,62
3 = 3,73 ( Very fine sand)
StandarDeviasi
= =
𝑃84−𝑃16
+
4 5,62−1,30
𝑃95−𝑃5 6,6 5,94−(−1,74)
+ 4 6,6 = 2,25 (Very poorly sorted)
Skewness
=
=
𝑃16+𝑃84−2𝑃50 2(𝑃84−𝑃16)
1,30+5,62−4,27 2(5,62−1,30)
+
+
(𝑃5+𝑃95)−2𝑃50 2(𝑃95+𝑃5)
(−1,74+5,94)−4,27 2(5,94+(−1,74))
= -0,70 (Very coarse-skewed)
Kurtosis
=
=
𝑃95−𝑃5 2,44(𝑃75−𝑃25) 5,94−(−1,74)
2,44(5,33−2,46)
= 1,10 (Mesokurtic)
: Budi Arya .S
FAKULTAS TEKNIK Stambuk : F 121 17 052
PROGRAM STUDI TEKNIK GEOLOGI Acara 2 : Analisis Ukuran Butir
Soal 1
a. Metode Moment
Grain Size -1,00
W
D
WxD
(D-m)2
(D-m)3
(D-m)4
W(D-m)2
W(D-m)3
W(D-m)4
0,92
-0,75
-0,69
3,87
-7,61
14,97
3,56
-7,00
13,77
-0,50
2,12
-0,25
-0,53
2,15
-3,16
4,63
4,56
-6,69
9,82
0,00
5,12
0,25
1,28
0,94
-0,90
0,87
4,79
-4,63
4,48
0,50
7,72
0,75
5,79
0,22
-0,10
0,05
1,68
-0,79
0,37
1,00
8,82
1,25
11,03
0,00
0,00
0,00
0,01
0,00
0,00
1,50
7,42
1,75
12,99
0,28
0,15
0,08
2,11
1,12
0,60
2,00
4,62
2,25
10,40
1,07
1,10
1,14
4,93
5,09
5,26
2,50
1,82
2,75
5,01
2,35
3,60
5,52
4,28
6,56
10,05
3,00
0,82
3,25
2,67
4,13
8,40
17,08
3,39
6,89
14,01
3,50
39,38
29,31
0,55
58,35
MEAN
=
=
47,93
∑ 𝑊𝑥𝐷 ∑𝑊
STD
47,93
=√
39,38
= 1,21 (Medium sand)
SKW
=
=
∑ 𝑊(𝐷−𝑚)3 ∑𝑊 𝑆𝑇𝐷3
0,55 39,38
0,63
= 0,02 (Near-symmetrical)
=√
∑ 𝑊(𝐷−𝑚)2 ∑𝑊 29,31 39,38
= 0,86 (Moderately sorted)
KURTOSIS
=
=
∑ 𝑊(𝐷−𝑚)4 ∑𝑊 𝑆𝑇𝐷4
58,35 39,38
0,54
= 2,74 (Very leptokurtic)
Grain Size -1,00 -0,50 0,00 0,50 1,00 1,50 2,00 2,50 3,00
W 0,92 2,12 5,12 7,20 8,82 7,42 4,62 1,82 0,82 38,86
Weight(%) 2,37 5,46 13,18 18,53 22,70 19,09 11,89 4,68 2,11 100
Kumulatif(%) 2,37 7,82 21,00 39,53 62,22 81,32 93,21 97,89 100
100.00
Kumulatif (%)
y = 14.418e0.8752x
10.00
1.00 -2.00
-1.00
0.00
1.00
Grain Size
2.00
3.00
4.00
DIAGRAM HISTOGRAM comulative Frequency Weight (%)
32.00
16.00
18.53
22.70
19.09
13.18
11.89
8.00
5.46
4.00
2.00
4.68
2.37
2.11
1.00 -1.00 -0.50 0.00
0.50
1.00
1.50
2.00
2.50
Grain Size Class
b. Metode Inman Mean
= =
𝑃16+𝑃84 2 0,12+2,01
2 = 1,07 (Medium sand)
Standar Deviasi
= =
𝑃84−𝑃16 2 2,01−0,12
2 = 0,95 (Moderately sorted)
Skewness
= =
𝑃16+𝑃84−2𝑃50 𝑃84−𝑃16 0,12+2,01−2(2,01) 2,01−0,12
= -0,37 (Very course-skewed) Kurtosis
= =
(𝑃95−𝑃5)−(𝑃84−𝑃16) 𝑃84−𝑃16 (2,15−(−1,21))−(2,01−0,12) 2,01−0,12
= 0,78 (mesokurtic)
3.00
c. Metode Folk & Ward Mean
= =
𝑃16+𝑃50+𝑃84 3 0,12+1,42+2,01
3 = 1,18 (Medium sand)
StandarDeviasi
= =
𝑃84−𝑃16
+
4 2,01−0,12
𝑃95−𝑃5 6,6 2,15−(−1,21)
+ 4 6,6 = 0,98 (Moderately sorted) Skewness
=
=
𝑃16+𝑃84−2𝑃50 2(𝑃84−𝑃16)
0,12+2,01−2,01 2(2,01−0,12)
+
+
(𝑃5+𝑃95)−2𝑃50 2(𝑃95+𝑃5)
((−1,21)+2,15)−2,01 2(2,15+(−2,01))
= -1,19 (Very course-skewed) Kurtosis
=
=
𝑃95−𝑃5 2,44(𝑃75−𝑃25) 2,15−(−1,21)
2,44(1,88−0,63)
= 1,10 (Mesokurtic)
UNIVERSITAS TADULAKO Nama
: Budi Arya .S
FAKULTAS TEKNIK Stambuk : F 121 17 052
PROGRAM STUDI TEKNIK GEOLOGI Acara 2 : Analisis Ukuran Butir
Soal 2
a. Metode Moment Grain Size
W
D
WxD
(D-m)2
-2,00 -1,00 0,00 1,00 2,00 3,00 4,00 5,00 6,00 7,00 8,00 9,00
1,12 1,52 2,02 3,32 5,52 6,52 7,52 6,52 4,32 1,62 1,02 41,02
-1,50 -0,50 0,50 1,50 2,50 3,50 4,50 5,50 6,50 7,50 12,50
-1,68 -0,76 1,01 4,98 13,80 22,82 33,84 35,86 28,08 12,15 12,75 162,85
29,92 19,98 12,04 6,10 2,16 0,22 0,28 2,34 6,40 12,46 72,76
Mean
=
=
∑ 𝑊𝑥𝐷 ∑𝑊
(D-m)3 163,67 -89,32 -41,78 -15,07 -3,18 -0,10 0,15 3,58 16,19 43,99 620,65
(D-m)4
W(D-m)2
W(D-m)3
W(D-m)4
(D-m)
895,27 399,24 144,99 37,22 4,67 0,05 0,08 5,48 40,97 155,27 72,76
33,51 30,37 24,32 20,26 11,93 1,44 2,11 15,26 27,65 20,19 74,22 261,26
-183,31 -135,76 -84,40 -50,03 -17,53 -0,68 1,12 23,35 69,96 71,26 633,06 327,04
1002,70 606,85 292,87 123,58 25,78 0,32 0,59 35,73 176,99 251,54 74,22 2591,16
-5,47 -4,47 -3,47 -2,47 -1,47 -0,47 0,53 1,53 2,53 3,53 8,53
STD
162,85
=√
41,02
= 3,97 (Very fine sand)
SKW
=
=
∑ 𝑊(𝐷−𝑚)3 ∑𝑊 𝑆𝑇𝐷3
327,04 40,02
16,00
= 0,51 (Very fine-skewed)
=√
∑ 𝑊(𝐷−𝑚)2 ∑𝑊 261,26 41,02
= 2,52 (Very poorly sorted)
KURTOSIS
=
=
∑ 𝑊(𝐷−𝑚)4 ∑𝑊 𝑆𝑇𝐷4
2591,16 41,02
40,32
= 1,56 (Very leptokurtic)
Grain Size Class -2,00 -1,00 0,00 1,00 2,00 3,00 4,00 5,00 6,00 7,00 8,00 9,00
W 1,12 1,52 2,02 3,32 5,52 6,52 7,52 6,52 4,32 1,62 1,02 41,02
Weight(%) 2,73 3,71 4,92 8,09 13,46 15,89 18,33 15,89 10,53 3,95 2,49 100,00
Kumulatif(%) 2,73 6,44 11,36 19,45 32,91 48,81 67,14 83,03 93,56 97,51 100,00
100.00
Komulatif %
y = 10.974e0.3529x
-2.50
10.00
1.00 -0.50
1.50
3.50
Grain Size
5.50
7.50
9.50
DIAGRAM HISTOGRAM 32.00
16.00
Axis Title
13.46
15.89
18.33
15.89 10.53
8.00
8.09 4.92
4.00
3.95
3.71 2.00
2.73
2.49
1.00 -2.00 -1.00 0.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00
Axis Title
b.
Metode Inman Mean
= =
𝑃16+𝑃84 2 1,33+6,25
2 = 3,79 (Very fine sand)
StandarDeviasi
= =
𝑃84−𝑃16 2 6,25−1,33
2 = 2,46 (Very poorly sorted)
Skewness
= =
𝑃16+𝑃84−2𝑃50 𝑃84−𝑃16 1,33+6,25−2(9,3) 6,25−1,33
= -0,35 (Very coarse-skewed) Kurtosis
= =
(𝑃95−𝑃5)−(𝑃84−𝑃16) 𝑃84−𝑃16 (6,62−(−2,41))−(6,25−1,33) 6,62−1,33
= 0,84 (Platykurtic) c. Metode Folk & Ward Mean
= =
𝑃16+𝑃50+𝑃84 3 1,33+4,65+6,25
3 = 4,08 (coarse silt)
StandarDeviasi
= =
𝑃84−𝑃16
+
4 6,25−1,33
𝑃95−𝑃5 6,6 6,62−(−2,41)
+ 4 6,6 = 2,60 (Very poorly sorted) Skewness
=
=
𝑃16+𝑃84−2𝑃50 2(𝑃84−𝑃16)
1,33+6,25−9,3 2(6,25−1,33)
+
+
(𝑃5+𝑃95)−2𝑃50 2(𝑃95+𝑃5)
(−2,41)+6,62)−9,3 2(6,62+(−2,41)
= -0,78 (Very coarse-skewed) Kurtosis
=
=
𝑃95−𝑃5 2,44(𝑃75−𝑃25) 6,62−(−2,41)
2,44(5,90−2,53)
= 1,10 ( Mesokurtic)
UNIVERSITAS TADULAKO Nama
: Budi Arya .S
FAKULTAS TEKNIK Stambuk : F 121 17 052
PROGRAM STUDI TEKNIK GEOLOGI Acara 2 : Analisis Ukuran Butir
Soal 3
a. Metode Moment Grain Size -1,00 -0,50 0,00 0,50 1,00 1,50 2,00 2,50 3,00 3,50 4,00 4,50
Mean
W 1,02 1,52 1,92 3,12 5,12 7,72 8,82 7,52 4,62 1,82 0,82 44,02
=
=
D -0,75 -0,25 0,25 0,75 1,25 1,75 2,25 2,75 3,25 3,75 6,25
WxD -0,77 -0,38 0,48 2,34 6,40 13,51 19,85 20,68 15,02 6,83 5,13 89,08
(D-m)2 7,69 5,17 3,15 1,62 0,60 0,07 0,05 0,53 1,50 2,98 17,86
∑ 𝑊𝑥𝐷 ∑𝑊
(D-m)3 -21,33 -11,75 -5,58 -2,07 -0,46 -0,02 0,01 0,38 1,84 5,15 75,50
(D-m)4 59,17 26,72 9,89 2,63 0,36 0,01 0,00 0,28 2,26 8,88 17,86
W(D-m)2 7,85 7,86 6,04 5,06 3,06 0,58 0,45 3,97 6,95 5,42 14,65 61,89
STD
89,08
= 2,02 (Fine sand)
SKW
=
=
23,48 44,02
1,64
= 0,32 (very Fine-skewed)
=√ =√
44,02
∑ 𝑊(𝐷−𝑚)3 ∑𝑊 𝑆𝑇𝐷3
W(D-m)3 -21,76 -17,86 -10,71 -6,44 -2,37 -0,16 0,10 2,88 8,52 9,37 61,91 23,48
W(D-m)4 60,36 40,61 18,99 8,21 1,83 0,04 0,02 2,09 10,45 16,17 14,65 173,43
∑ 𝑊(𝐷−𝑚)2 ∑𝑊 61,89 44,02
= 1,18 (Poorly sorted)
KURTOSIS
=
=
∑ 𝑊(𝐷−𝑚)4 ∑𝑊 𝑆𝑇𝐷4
173,43 44,02
1,93
= 2,04 (Very leptokurtic)
Grain Size Class -1,00
W 1,02
Weight(%) 2,32
Kumulatif(%) 2,32
-0,50
1,52
3,45
5,77
0,00 0,50 1,00
1,92 3,12 5,12
4,36 7,09 11,63
10,13 17,22 28,85
1,50 2,00 2,50
7,72 8,82 7,52
17,54 20,04 17,08
46,39 66,42 83,51
3,00
4,62
10,50
94,00
3,50 4,00 4,50
1,82 0,82 44,02
4,13 1,86 100,00
98,14 100,00
100.00
Komulatif %
y = 9.7586e0.7424x
10.00
1.00 -2.00
-1.00
0.00
1.00
2.00
Grain Size
3.00
4.00
5.00
DIAGRAM HISTOGRAM 32.00
Axis Title
16.00
17.54 20.04 17.08 11.63
8.00 4.00 2.00
10.50
7.09 3.45
4.36
4.13
2.32
1.86
1.00 -1.00 -0.50 0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.50 4.00
Axis Title
b. Metode Inman Mean
= =
𝑃16+𝑃84 2 0,67+2,90
2 = 1,78 (Medium sand)
StandarDeviasi
= =
𝑃84−𝑃16 2 2,90−0,67
2 = 1,12 (Poorly sorted)
Skewness
= =
𝑃16+𝑃84−2𝑃50 𝑃84−𝑃16 0,67+2,90−2(2,20) 2,90−0,67
= -0,37 (Very coarse-skewed) Kurtosis
= =
(𝑃95−𝑃5)−(𝑃84−𝑃16) 𝑃84−𝑃16 (3,07−(−0,90)−(2,90−0,67) 2,90−0,67
= 0,78 (Platykurtic)
c. Metode Folk & Ward Mean
= =
𝑃16+𝑃50+𝑃84 3 0,67+2,20+2,90
3 = 1,92 (Medium sand)
StandarDeviasi
= =
𝑃84−𝑃16
+
4 2,90−0,67
𝑃95−𝑃5 6,6 3,07−(−0,90
+ 4 6,6 = 1,16 (Poorly sorted) Skewness
=
=
𝑃16+𝑃84−2𝑃50 2(𝑃84−𝑃16)
+
0,67+2,90−2(2,20) 2(2,90−0,67)
(𝑃5+𝑃95)−2𝑃50 2(𝑃95+𝑃5)
+
−0,90+3,07−2(2,20) 2(3,07+(−0,90)
= -0,70 (Very coarse-skewed) Kurtosis
=
=
𝑃95−𝑃5 2,44(𝑃75−𝑃25) 3,07−(−0,90)
2,44(2,75−1,27) = 1,10 (Mesokurtic)
UNIVERSITAS TADULAKO Nama
: Budi Arya .S
FAKULTAS TEKNIK Stambuk : F 121 17 052
PROGRAM STUDI TEKNIK GEOLOGI Acara 2 : Analisis Ukuran Butir
Soal 4
a. Metode Moment Grain Size W -2,00 0,92 -1,50 1,52 -1,00 2,02 -0,50 10,02 0,00 12,32 0,50 8,72 1,00 5,12 1,50 2,92 2,00 1,62 2,50 1,02 3,00 0,82 3,50 47,02
Mean
D -1,75 -1,25 -0,75 -0,25 0,25 0,75 1,25 1,75 2,25 2,75 4,75
=
=
WxD -1,61 -1,90 -1,52 -2,51 3,08 6,54 6,40 5,11 3,65 2,81 3,90 23,95
(D-m)2 5,10 3,09 1,59 0,58 0,07 0,06 0,55 1,54 3,03 5,02 17,98
∑ 𝑊𝑥𝐷 ∑𝑊
(D-m)3 -11,53 -5,44 -2,00 -0,44 -0,02 0,01 0,41 1,91 5,27 11,25 76,27
(D-m)4 26,05 9,58 2,51 0,33 0,00 0,00 0,30 2,37 9,18 25,21 17,98
W(D-m)2 4,70 4,70 3,20 5,78 0,83 0,51 2,81 4,50 4,91 5,12 14,75 51,79
STD
23,95
= 0,50 (Coarse sand)
SKW
=
=
51,79 47,02
1,33
= 0,82 (very fine-skewed)
=√ =√
47,02
∑ 𝑊(𝐷−𝑚)3 ∑𝑊 𝑆𝑇𝐷3
W(D-m)3 -10,61 -8,28 -4,03 -4,39 -0,21 0,12 2,08 5,58 8,55 11,48 62,54 62,82
W(D-m)4 23,97 14,56 5,08 3,33 0,06 0,03 1,54 6,92 14,88 25,71 14,75 110,82
∑ 𝑊(𝐷−𝑚)2 ∑𝑊 51,79 47,02
= 1,10 (Poorly sorted)
KURTOSIS
=
=
∑ 𝑊(𝐷−𝑚)4 ∑𝑊 𝑆𝑇𝐷4
110,82 47,02
1,46
= 1,61 (Very leptokurtic)
Grain Size Class -2,00 -1,50 -1,00 -0,50 0,00 0,50 1,00 1,50 2,00 2,50 3,00 3,50
W 0,92 1,52 2,02 10,02 12,32 8,72 5,12 2,92 1,62 1,02 0,82 47,02
Weight(%) 1,96 3,23 4,30 21,31 26,20 18,55 10,89 6,21 3,45 2,17 1,74 100,00
Kumulatif(%) 1,96 5,19 9,49 30,80 57,00 75,54 86,43 92,64 96,09 98,26 100,00
100.00
Komulatif %
y = 24.11e0.7454x
10.00
1.00 -3.00
-2.00
-1.00
0.00
1.00
Grain Size
2.00
3.00
4.00
DIAGRAM HISTOGRAM 32.00
26.20 21.31
Axis Title
16.00
18.55 10.89
8.00
6.21 4.00
4.30 3.45
3.23 2.00
2.17
1.96
1.74
1.00 -2.00
-1.50
-1.00
-0.50
0.00
0.50
1.00
1.50
Axis Title
b. Metode Inman Mean
= =
𝑃16+𝑃84 2 −0,55+1,67
2 = 3,42 (Very fine sand)
StandarDeviasi
= =
𝑃84−𝑃16 2 1,67−(−0,55)
2 = 1,10 (Poorly sorted)
Skewness
= =
𝑃16+𝑃84−2𝑃50 𝑃84−𝑃16
-
−0,55+1,67−2(−0,55) 4,52−2,32
= -0,37 (Very coarse-skewed) Kurtosis
= =
(𝑃95−𝑃5)−(𝑃84−𝑃16) 𝑃84−𝑃16 (1,84−(−2,11)−(1,67−(−0,55) 1,67−(0,55)
2.00
2.50
3.00
= 0,78 (Platykurtic) c. Metode Folk & Ward Mean
= =
𝑃16+𝑃50+𝑃84 3 −0,55+0,98+1,67
3 = 3,56 (Fine sand)
StandarDeviasi
Skewness
=
𝑃84−𝑃16
+
𝑃95−𝑃5
4 6,6 1,67−(−0,55 1,84−(−2,11) = + 4 6,6 = 1,14 ( Poorly sorted)
=
=
𝑃16+𝑃84−2𝑃50 2(𝑃84−𝑃16)
+
−0,55+1,67−0,98 2(4,53−2,32)
(𝑃5+𝑃95)−2𝑃50
+
2(𝑃95+𝑃5) (0,98+1,84)−0,98 2(4,68+(−2,11)
= -0,37 (Very coarse-skewed) Kurtosis
=
=
𝑃95−𝑃5 2,44(𝑃75−𝑃25) 1,84−(−2,11)
2,44(1,52−(0,05)
= 1,10 (Mesokurtic)
Nama
UNIVERSITAS TADULAKO FAKULTAS TEKNIK PROGRAM STUDI TEKNIK GEOLOGI Acara 2 : Analisis Ukuran Butir
: Budi Arya .S
Stambuk : F 121 17 052
Soal 5
a. Metode Moment Grain Size -2,00 -1,50 -1,00 -0,50 0,00 0,50 1,00 1,50 2,00 2,50 3,00 3,50 4,00 4,50 5,00 5,50 6,00 6,50 7,00 7,50 8,00 8,50
Mean
W 0,62 0,72 1,42 2,12 2,02 1,42 1,82 2,92 3,92 4,72 5,12 5,12 4,62 3,72 2,72 1,72 1,52 2,22 2,22 1,22 0,62 52,52
D -1,75 -1,25 -0,75 -0,25 0,25 0,75 1,25 1,75 2,25 2,75 4,75 3,75 4,25 4,75 5,25 5,75 6,25 6,75 7,25 7,75 8,25
=
=
WxD -1,09 -0,90 -1,07 -0,53 0,51 1,07 2,28 5,11 8,82 12,98 24,32 19,20 19,64 17,67 14,28 9,89 9,50 14,99 16,10 9,46 5,12 187,32
(D-m)2 28,27 23,20 18,63 14,57 11,00 7,93 5,37 3,30 1,73 0,67 1,40 0,03 0,47 1,40 2,83 4,77 7,20 10,13 13,57 17,50 21,93
∑ 𝑊𝑥𝐷 ∑𝑊
(D-m)3 -150,28 -111,75 -80,43 -55,60 -36,48 -22,35 -12,43 -6,00 -2,28 -0,54 1,66 0,01 0,32 1,66 4,77 10,41 19,32 32,26 49,97 73,21 102,72
(D-m)4 799,00 538,24 347,20 212,19 121,00 62,94 28,80 10,89 3,01 0,44 1,96 0,00 0,22 1,96 8,03 22,72 51,85 102,69 184,07 306,27 481,09
STD
187,32
= 3,56 (Very fine sand)
SKW
=
=
−554,31 52,52
28,93
=√ =√
52,52
∑ 𝑊(𝐷−𝑚)3 ∑𝑊 𝑆𝑇𝐷3
W(D-m)2 17,53 16,70 26,46 30,88 22,22 11,27 9,77 9,64 6,80 3,15 7,17 0,17 2,16 5,21 7,71 8,20 10,94 22,50 30,12 21,35 13,60 161,57
W(D-m)3 -93,18 -80,46 -114,22 -117,86 -73,70 -31,73 -22,63 -17,51 -8,95 -2,57 8,48 0,03 1,47 6,16 12,97 17,90 29,37 71,62 110,94 89,32 63,69 -554,31
W(D-m)4 495,38 387,53 493,03 449,84 244,42 89,37 52,42 31,80 11,78 2,10 10,04 0,01 1,01 7,29 21,84 39,09 78,81 227,98 408,63 373,65 298,28 2267,73
∑ 𝑊(𝐷−𝑚)2 ∑𝑊 161,57 52,52
= 3,07 (Very poorly sorted)
KURTOSIS
=
=
∑ 𝑊(𝐷−𝑚)4 ∑𝑊 𝑆𝑇𝐷4
2267,73 52,52
88,82
= -0,36 (Very coarse-skewed)
Grain Size Class -2,00 -1,50 -1,00 -0,50 0,00 0,50 1,00 1,50 2,00 2,50 3,00 3,50 4,00 4,50 5,00 5,50 6,00 6,50 7,00 7,50 8,00 8,50
W 0,62 0,72 1,42 2,12 2,02 1,42 1,82 2,92 3,92 4,72 5,12 5,12 4,62 3,72 2,72 1,72 1,52 2,22 2,22 1,22 0,62 52,52
= 0,48 (Very platykurtic)
Weight(%) 1,18 1,37 2,70 4,04 3,85 2,70 3,47 5,56 7,46 8,99 9,75 9,75 8,80 7,08 5,18 3,27 2,89 4,23 4,23 2,32 1,18 100,00
Kumulatif(%) 1,18 2,55 5,26 9,29 13,14 15,84 19,31 24,87 32,33 41,32 51,07 60,81 69,61 76,69 81,87 85,15 88,04 92,27 96,50 98,82 100,00
100.00
Komulatif %
y = 9.739e0.3833x
10.00
-4.00
-2.00
0.00
2.00
1.00
4.00
6.00
8.00
10.00
Grain Size
DIAGRAM HISTOGRAM 16.00
Axis Title
8.00
8.999.759.758.80 7.46 7.08 5.56 5.18
4.00
4.234.23 3.27 2.89 2.32 1.18
4.043.85 3.47 2.70 2.70
2.00
1.181.37
-2.00 -1.50 -1.00 -0.50 0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.50 4.00 4.50 5.00 5.50 6.00 6.50 7.00 7.50 8.00
1.00
Axis Title
b. Metode Inman Mean
= =
𝑃16+𝑃84 2 1,30+5,62
2 = 3,46 ( Very fine sand)
StandarDeviasi
=
𝑃84−𝑃16 2
=
5,62−1,30
2 = 2,16 (very Poorly sorted)
Skewness
= =
𝑃16+𝑃84−2𝑃50 𝑃84−𝑃16 1,60+5,62−2(4,27) 5,62−1,30
= -0,37 (Very coarse-skewed) Kurtosis
= =
(𝑃95−𝑃5)−(𝑃84−𝑃16) 𝑃84−𝑃16 (5,94−(−1,74))−(5,62−1,30) 5,62−1,30
= 0,78 (Platykurtic)
c. Metode Folk & Ward Mean
= =
𝑃16+𝑃50+𝑃84 3 1,30+4,27+5,62
3 = 3,73 ( Very fine sand)
StandarDeviasi
= =
𝑃84−𝑃16
+
4 5,62−1,30
𝑃95−𝑃5 6,6 5,94−(−1,74)
+ 4 6,6 = 2,25 (Very poorly sorted)
Skewness
=
=
𝑃16+𝑃84−2𝑃50 2(𝑃84−𝑃16)
1,30+5,62−4,27 2(5,62−1,30)
+
+
(𝑃5+𝑃95)−2𝑃50 2(𝑃95+𝑃5)
(−1,74+5,94)−4,27 2(5,94+(−1,74))
= -0,70 (Very coarse-skewed)
Kurtosis
=
=
𝑃95−𝑃5 2,44(𝑃75−𝑃25) 5,94−(−1,74)
2,44(5,33−2,46)
= 1,10 (Mesokurtic)
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