kjr i baru baru
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7/25/2019 KJR I Baru Baru
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PERHITUNGAN TINGGI TITIK
Patok A L = 50 + 8 X ( 50 - 50 )
10
= 50 + 0.8 X 0
= 50
C = 50 + 8 X ( 50 - 50 )
28
= 50 + 0.286 X 0
= 50
R = 50 + 5 X ( 50 - 50 )
23
= 50 + 0.217 X 0
= 50
Patok 1 L = 50 + 5 X ( 50 - 50 )
20
= 50 + 0.25 X 0
= 50
C = 50 + 10 X ( 50 - 50 )31
= 50 + 0.323 X 0
= 50
R = 50 + 8.5 X ( 50 - 50 )
24
= 50 + 0.354 X 0
= 50
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Patok 2 L = 50 + 2 X ( 50 - 50 )
9
= 50 + 0.222 X 0
= 50
C = 50 + 0 X ( 50 - 40 )
8
= 50 + 0 X 10
= 50
R = 50 + 2 X ( 50 - 40 )
8
= 50 + 0.25 X 10
= 52.5
Patok 3 L = 40 + 4 X ( 50 - 40 )
8
= 40 + 0.5 X 10
= 45
C = 40 + 2.5 X ( 40 - 30 )15
= 40 + 0.167 X 10
= 41.6666667
R = 40 + 5 X ( 40 - 30 )
12.5
= 40 + 0.4 X 10
= 44
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Patok 4 L = 40 + 2 X ( 50 - 40 )
15
= 40 + 0.133 X 10
= 41.3333333
C = 30 + 2 X ( 40 - 30 )
10
= 30 + 0.2 X 10
= 32
R = 30 + 0 X ( 30 - 20 )
11
= 30 + 0 X 10
= 30
Patok 5 L = 40 + 6 X ( 40 - 30 )
10
= 40 + 0.6 X 10
= 46
C = 30 + 3.5 X ( 30 - 20 )
16
= 30 + 0.219 X 10
= 32.1875
R = 20 + 3 X ( 30 - 20 )
10
= 20 + 0.3 X 10
= 23
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Patok 6 L = 40 + 4 X ( 40 - 30 )
10
= 40 + 0.4 X 10
= 44
C = 30 + 1 X ( 30 - 20 )
11
= 30 + 0.091 X 10
= 30.9090909
R = 20 + 4 X ( 30 - 20 )
12
= 20 + 0.333 X 10
= 23.3333333
Patok 7 L = 40 + 4 X ( 50 - 40 )
16
= 40 + 0.25 X 10
= 42.5
C = 30 + 1 X ( 40 - 30 )
10
= 30 + 0.1 X 10
= 31
R = 20 + 0 X ( 20 - 20 )
3
= 20 + 0 X 0
= 20
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Patok 8 L = 30 + 0 X ( 40 - 30 )
7
= 30 + 0 X 10
= 30
C = 30 + 3 X ( 30 - 20 )
9.5
= 30 + 0.316 X 10
= 33.1578947
R = 20 + 2 X ( 20 - 20 )
10
= 20 + 0.2 X 0
= 20
Patok 9 L = 20 + 2.5 X ( 20 - 20 )
15
= 20 + 0.167 X 0= 20
C = 20 + 5 X ( 20 - 20 )
35.5
= 20 + 0.141 X 0
= 20
R = 20 + 8 X ( 20 - 20 )
16
= 20 + 0.5 X 0
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= 20
Patok 10 L = 20 + 10.5 X ( 20 - 20 )
44
= 20 + 0.239 X 0
= 20
C = 20 + 15 X ( 20 - 20 )
41
= 20 + 0.366 X 0
= 20
R = 20 + 16.5 X ( 20 - 20 )
37.5
= 20 + 0.44 X 0
= 20
Patok 11 L = 20 + 14 X ( 20 - 20 )
47= 20 + 0.298 X 0
= 20
C = 20 + 22 X ( 20 - 20 )
45
= 20 + 0.489 X 0
= 20
R = 20 + 12 X ( 20 - 20 )
45.5
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= 20 + 0.264 X 0
= 20
Patok 12 L = 20 + 10 X ( 20 - 20 )
40
= 20 + 0.25 X 0
= 20
C = 20 + 17.5 X ( 20 - 20 )
40
= 20 + 0.438 X 0
= 20
R = 20 + 8 X ( 20 - 20 )
38
= 20 + 0.211 X 0
= 20
Patok 13 L = 20 + 4.5 X ( 20 - 20 )32.5
= 20 + 0.138 X 0
= 20
C = 20 + 13 X ( 20 - 10 )
31
= 20 + 0.419 X 10
= 24.1935484
R = 20 + 7 X ( 20 - 20 )
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28
= 20 + 0.25 X 0
= 20
Patok 14 L = 20 + 0 X ( 20 - 20 )
22
= 20 + 0 X 0
= 20
C = 20 + 7 X ( 20 - 20 )
23
= 20 + 0.304 X 0
= 20
R = 20 + 4 X ( 20 - 20 )
20
= 20 + 0.2 X 0
= 20
Patok 15 L = 20 + 0 X ( 20 - 20 )
3
= 20 + 0 X 0
= 20
C = 20 + 5 X ( 20 - 20 )
18
= 20 + 0.278 X 0
= 20
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R = 20 + 6 X ( 20 - 20 )
26
= 20 + 0.231 X 0
= 20
Patok 16 L = 20 + 0 X ( 20 - 20 )
9
= 20 + 0 X 0
= 20
C = 20 + 5 X ( 20 - 20 )
18
= 20 + 0.278 X 0
= 20
R = 20 + 5 X ( 30 - 20 )
10
= 20 + 0.5 X 10
= 25
Patok 17 L = 20 + 2 X ( 20 - 20 )
22
= 20 + 0.091 X 0
= 20
C = 30 + 7 X ( 30 - 20 )
20
= 30 + 0.35 X 10
= 33.5
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R = 30 + 3 X ( 40 - 30 )
20
= 30 + 0.15 X 10
= 31.5
Patok 18 L = 20 + 4 X ( 30 - 20 )
37
= 20 + 0.108 X 10
= 21.0810811
C = 30 + 2 X ( 30 - 20 )
8
= 30 + 0.25 X 10
= 32.5
R = 30 + 8 X ( 40 - 30 )
20
= 30 + 0.4 X 10= 34
Patok 19 L = 20 + 6 X ( 30 - 20 )
30
= 20 + 0.2 X 10
= 22
C = 30 + 3 X ( 30 - 20 )
7
= 30 + 0.429 X 10
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= 34.2857143
R = 30 + 8 X ( 40 - 30 )
21
= 30 + 0.381 X 10
= 33.8095238
Patok 20 L = 20 + 3 X ( 20 - 20 )
21
= 20 + 0.143 X 0
= 20
C = 30 + 4 X ( 30 - 20 )
15
= 30 + 0.267 X 10
= 32.6666667
R = 30 + 3.5 X ( 30 - 30 )
10= 30 + 0.35 X 0
= 30
Patok 21 L = 20 + 0 X ( 30 - 20 )
5
= 20 + 0 X 10
= 20
C = 20 + 6 X ( 30 - 20 )
15
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= 20 + 0.4 X 10
= 24
R = 30 + 2 X ( 30 - 30 )
9
= 30 + 0.222 X 0
= 30
Patok 22 L = 40 + 2 X ( 40 - 30 )
6
= 40 + 0.333 X 10
= 43.33
C = 30 + 1 X ( 30 - 20 )
6
= 30 + 0.167 X 10
= 31.67
R = 20 + 3 X ( 20 - 20 )13
= 20 + 0.231 X 0
= 20
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no NO stasiun jarak stasiunLN!"#N! $O%&'ONL
jarak *ansun tini % Δ L
1 0 50
100 50
2 100 50
100 200
3 200 50
100 300
4 300 41
100 400
5 400 32
95 200 57 198.866667 495
6 495 32
100 595
7 595 30
100 695
8 695 31
100 7959 795 33
100 895
10 895 20
170 1065
11 1065 20
100 1165
12 1165 20
100 1265
13 1265 20
100 170 76 225.382222 1365
14 1365 24
100 1465
15 1465 20
100 1565
16 1565 20
100 1665
17 1665 20
100 1765
18 1765 33
100 1865
19 1865 32
100 180 71 222.94 1965
20 1965 34
100 2065
21 2065 32
100 2165
22 2165 24100 2265
31
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L %O&L NN!
NO &N!!& 50 L$ "&%& &N!!& ()
&N!!& 50 L$ "NN "&%&N!N"L&&"&
&N!!& &&" &N!!& "&%&N!N &N!!& &&" &N!!& "&%&N!N %-%
0 50.00 0.000 0 50.00 50.00 0.000 0 0.000
1 50.00 0.000 0 50.00 50.00 0.000 0 0.000
2 52.50 -0.250 0 50.00 50.00 0.000 -3 -0.013
3 44.00 -0.233 -3 41.67 45.00 -0.333 -2 -0.028
4 30.00 0.200 -10 32.00 41.33 -0.933 2 -0.0395 23.00 0.919 -14 32.19 46.00 -1.381 9 -0.023
6 23.33 0.758 -13 30.91 44.00 -1.309 8 -0.028
7 20.00 1.100 -12 31.00 42.50 -1.150 11 -0.002
8 20.00 1.316 3 33.16 30.00 0.316 13 0.082
9 20.00 0.000 0 20.00 20.00 0.000 0 0.000
10 20.00 0.000 0 20.00 20.00 0.000 0 0.000
11 20.00 0.000 0 20.00 20.00 0.000 0 0.000
12 20.00 0.000 0 20.00 20.00 0.000 0 0.000
13 20.00 0.419 4 24.19 20.00 0.419 4 0.042
14 20.00 0.000 0 20.00 20.00 0.000 0 0.000
15 20.00 0.000 0 20.00 20.00 0.000 0 0.000
16 25.00 -0.500 0 20.00 20.00 0.000 -5 -0.025
17 31.50 0.200 14 33.50 20.00 1.350 2 0.07818 34.00 -0.150 11 32.50 21.08 1.142 -2 0.050
19 33.81 0.048 12 34.29 22.00 1.229 0 0.064
20 30.00 0.267 13 32.67 20.00 1.267 3 0.077
21 30.00 -0.600 4 24.00 20.00 0.400 -6 -0.010
22 20.00 1.167 -12 31.67 43.33 -1.167 12 0.000
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No O" &N!!& &&" &N!!& &&" N!$ &N!!& &&" %" O" &N!!& "&%&N!N &N!!&
0 50.00 50.00 50.00 100 0.000 0.000 0.00
1 50.00 50.00 50.00 100 0.000 0.000 0.00
2 50.00 50.00 52.50 100 0.000 0.000 -0.25
3 45.00 41.67 44.00 100 -0.333 -0.033 -0.23
4 41.33 32.00 30.00 95 -0.933 -0.098 0.20
5 46.00 32.19 23.00 100 -1.381 -0.138 0.91
6 44.00 30.91 23.33 100 -1.309 -0.131 0.75
7 42.50 31.00 20.00 100 -1.150 -0.115 1.10
8 30.00 33.16 20.00 100 0.316 0.032 1.31
9 20.00 20.00 20.00 170 0.000 0.000 0.00
10 20.00 20.00 20.00 100 0.000 0.000 0.00
11 20.00 20.00 20.00 100 0.000 0.000 0.00
12 20.00 20.00 20.00 100 0.000 0.000 0.00
13 20.00 24.19 20.00 100 0.419 0.042 0.41
14 20.00 20.00 20.00 100 0.000 0.000 0.00
15 20.00 20.00 20.00 100 0.000 0.000 0.00
16 20.00 20.00 25.00 100 0.000 0.000 -0.50
17 20.00 33.50 31.50 100 1.350 0.135 0.20
18 21.08 32.50 34.00 100 1.142 0.114 -0.15
19 22.00 34.29 33.81 100 1.229 0.123 0.04
20 20.00 32.67 30.00 100 1.267 0.127 0.26
21 20.00 24.00 30.00 100 0.400 0.040 -0.60
22 43.33 31.67 20.00 100 -1.167 -0.117 1.16
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"&%&N!N
0.000
0.000
-0.025
-0.023
0.021
0.092
0.076
0.110
0.132
0.000
0.000
0.000
0.000
0.042
0.000
0.000
-0.050
0.020
-0.015
0.005
0.027
-0.060
0.117
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NO NOO% &#N %" &#NLN!"#N! $O%&ONL
jarak *ansun tini stasiun ,a tini k/irinan% L
0 0 100 100 23.41 1.0784314 1.08
1 100 100 300 22.33 -2.6666667 -2.67
2 200 100 500 25.00 -2 -2.00
3 300 100 700 27.00 -2.2307692 -2.23
4 400 95 895 29.23 0.4807692 0.51
5 495 100 1090 28.75 -1.25 -1.25
6 595 100 1290 30.00 -1.8028169 -1.80
7 695 100 1490 31.80 2.913928 2.918 795 100 1690 28.89 0.8888889 0.89
9 895 170 1960 28.00 0.6666667 0.39
10 1065 100 2230 27.33 -0.25 -0.25
11 1165 50 2380 27.58 2.4166667 4.83
12 1215 70 2500 25.17 -0.3333333 -0.48
13 1285 100 2670 25.50 -0.1296296 -0.13
14 1385 100 2870 25.63 1.6296296 1.63
15 1485 100 3070 24.00 1.25 1.25
16 1585 100 3270 22.75 -0.25 -0.25
17 1685 100 3470 23.00 0.1111111 0.11
18 1785 100 3670 22.89 0.1388889 0.14
19 1885 100 3870 22.75 -1.25 -1.25
20 1985 100 4070 24.00 -0.75 -0.75
21 2085 100 4270 24.75 0.42 0.42
22 2185 100 2285 24.33 24.33 24.33
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pe!"t#$%a$ pa$&a$% '#(#
ru/us
L =
360
ta,* r:itunan
no % L L = anjan ,usur
1 57 200 198.87 = anjan ,usur ;r = 120
2 76 170 225.38 % = ari-jari ,usur = 0.02
3 71 180 222.94
ko$to) ke*epata$
ru/us
;t = 127 < % < ( + / )>t = k?ata
;r = k?at
/ A 80 = 0B00065 < ; + 0B192
/ C 80-120 = 0B00125 < ; + 0B 24 / = koDsi
% = jari jari *
sEarat a/an = ;t C ;r
=1432.40
%
>>>>>>> tikungan pertama
ik =
% = 200 = 0.019736842
= 57 = 7.16
;r= 120
kontro* / = 0.255
;t = 83.5363
120 C 83.536 a/an
>>>>>>> tikungan kedua
ik =
% = 170 = 0.42
= 76 = 8.43
;r= 120
kontro* / = 0.215
;t = 117.029
120 C 117 a/an
>>>>>>> tikungan ketiga
ik =
% = 180 = 0.18
< 2 < F < %
= k/irina
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= 71 = 7.96
;r= 120
kontro* / = 0.255
;t = 99.5562
120 C 99.556 a/an
PERHITUNGAN R +"$
ru/us > = k?atan %n?ana
% /in = k/irinan tikunan
127 < ( + / ) / = koDsin sk /*int
>>>>>>> tikungan pertama
ik =
; = 120
= 0.020
/ = 0.26
% /in = 412.71 C 200 a/an
>>>>>>> tikungan kedua
ik =
; = 120
= 0.42
/ = 0.22
% /in = 178.74 C 170 a/an
>>>>>>> tikungan ketiga
ik =
; = 120
= 0.18
/ = 0.22
% /in = 288.09 C 75 a/an
ta,* kontro* k?atan
no % ;r ;t kt
1 57 200 7.16 0.020 120 83.536 a/an
2 76 170 8.43 0.419 120 117 a/an
3 71 180 7.96 0.18 120 99.556 a/an
PERHITUNGAN (#pe e)e,a("
ru/us
/a< < / /a< = k/irinan tikun
127 < % ;r = k?atan rn?ana
% = jari jari *nkun /in
/ = koDsin sk /*int
;G
;rG
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>>>>>>> tikungan pertama
ik
;r = 120
% = 200
/ = 0.26
/a< = 31.2
>>>>>>> tikungan kedua
ik
;r = 120
% = 170
/ = 0.22
/a< = 45.20
>>>>>>> tikungan ketiga
ik
;r = 120
% = 75
/ = 0.22
/a< = 32.50
no tikunan % / /a<
1 57 200 0.26 31.2
2 76 170 0.22 45.20
3 71 180 0.22 32.50
PERHITUNGAN a)"%$e+e$t Ho"(o$ta)
Ls = anjan *nku
Ls /in = 0.022 - 2.727 >r < ;r = "?atan %n?
r < ? ? % = ari jari ?i?*
H = rn?anaa k?
i rn?anakan tikunan sira* -?i?*-sira*
>>>>>>> tikungan pertama
ik % = 200 = 0.020
= 57 Ls = 60
;r = 120 ? = 0.4 /@t
1 . Ls /in = 459.05 C 60 Ls tiak a/an
Is = 28.648 Ls ? = - 2 < Is
%
= 8.5944 ? = 39.81
>rJ
kontro* $ara L n oiD ?ost or/u*a sEarat L( +"$ - L(
2 . n:itun Is
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3 . n:itun anjan usur
L? ?
360 L= L? + 2 < Ls
L? = 138.9 L = 259
i ro*: ari ta,* nan *i:at Ls B Is B% aka K
2 < F < %
4. /n:itun $ara P an K
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n /a<i/a* ( k/ @ ja/
n rn?ana "/ @ ja/
sk /*intan /a<
kun /a<i/a*
n tikunan ( tabel )
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an /a<
n
an /a<
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ra*i:an
ana
atan 0B4 /@t
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>>>>>>> tikungan pertama
ik % = 200 = 0.020
= 57 Ls = 199
;r = 120 k/irinan /*intan =
i rn?anakan sira* ?ir?* ira*
1. Is = Ls < 90 I? = - 2 < IsF < %
Is = 28.5 I? = 0
2.L? =
I? L= L? + 2 Ls
360
L? = 0.00 / L = 397.73 /
3. = - % (1 - ?os Is ) " = Ls - - % < s
6 < %
= 8.72 / " = 98.52 /
4. s = (% + )- %
s = (% + ) + 1@2 < + "
?os
2
s = 37.50 s = 335.73948
5. ksi/u*an
2<s C L = 671.479 C 397.73 a/an
>>>>>>> tikungan kedua
ik % = 170 = 0.419
= 76 Ls = 225.3822
;r = 120 k/irinan /*intan =
i rn?anakan sira* ?ir?* ira*
1.Is =
Ls < 90 I? = - 2 < Is
F < %
Is = 38 I? = 0
2.L? =
I? L= L? + 2 Ls
360
L? = 0.00 / L = 450.76 /
3. = - % (1 - ?os Is ) " = Ls - - % < s
6 < %
< 2 < F < %
LsG LsJ
40 < %G
< 2 < F < %
LsG LsJ
40 < %G
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= 13.76 / " = 110.82 /
4. s = (% + )- %
s = (% + ) + 1@2 < + "
?os
2
s = 63.20 s = 332.57894
5. ksi/u*an
2<s C L = 665.1579 C 450.76 a/an
>>>>>>> tikungan ketiga
ik % = 180 = 0.179
= 71 Ls = 222.94
;r = 120 k/irinan /*intan =
i rn?anakan sira* ?ir?* ira*
1.Is =
Ls < 90 I? = - 2 < Is
F < %
Is = 35.5 I? = 0
2.L? =
I? L= L? + 2 Ls
360
L? = 0.00 / L = 445.88 /
3. = - % (1 - ?os Is ) " = Ls - - % < s
6 < %
= 12.56 / " = 109.86 /
4. s = (% + )- %
s = (% + ) + 1@2 < + "
?os
2
s = 0.00 s = 337.925
5. ksi/u*an
2<s C L = 675.85 C 445.88 a/an
< 2 < F < %
LsG LsJ
40 < %G
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in Is
s = 209 209 38
28.5 0.88
in Is
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s = 184 184 63
38 0.79
in Is
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PERHITUNGAN pe)e'aa$ &a)a$
ru/us K
= N < ( + H ) + ( N - 1 ) + M
i /anaK
= L,ar rkrasan aa ikunan (/)n = ju/*a: Lajur La*u *intas
= L,ar Lintasan ra?k aa ikunan
= untuk ( 1000 @ % A H )
% = ari jaari tikunan
= arak %oa ntara ua "naraan i a/,i* 6.10 /
= *,ar /*intan ki,at onjo*an an (/ )
= %G + ( 2 + ) - %
= tonjo*an an 1.20
H = ",,asan sa/in ( / ) = 0.80 /
L = L,ar a*an Lurus ( / ) = 2 < 3B75 = 7B5 / = *,aran aa ikunan ( ) = -L
M = L,ar a/,a:an ki,at "*a*aian n/ui
ai
= A L = tiak ,utu: *,aran ja*an
CL = utu: *,aran a*an
>>>>>>> tikungan pertama
ik % = 200
;r = 120
= 1.2
= 6.1
n = 2
? = 0.80
L = 2 < 3.75 = 7.5
/aka K
= 0.040
= 2.493
= 6.626
' =0.105
;r
%
= 0.891
= 6.626 A 7.5 = L tiak ,utu: *,aran ja*an
>>>>>>> tikungan kedua
ik % = 170
;r = 120
= 1.2
= 6.1
n = 2
? = 0.80
2B4 + (%-%G - G)
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L = 2 < 3.75 = 7.5
/aka K
= 0.047
= 2.509
= 6.666
' =
0.105
;r
%= 0.966
= 6.666 A 7.5 = L tiak ,utu: *,aran ja*an
>>>>>>> tikungan ketiga
ik % = 180
;r = 120
= 1.2 = 6.1
n = 2
? = 0.80
L = 2 < 3.75 = 7.5
/aka K
= 0.045
= 2.503
= 6.651
' =
0.105
;r
%
= 0.939
= 6.651 A 7.5 = L tiak ,utu: *,aran ja*an
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PERHITUNGAN &aak pa$a$%
ru/us K : = + r
: = jarak /in Ean i r*ukan n/ui untuk /n:ntikan knar
Ean san ,rja*an st*a: /*i:at rintanan aa ja*ur Ean s
i ja*ani
= jarak &;%B jarak i /ana n/ui /u*ai /*i:at rintanan sa/
n/ui /u*ai /nr/.
r = jarak i /ana n/ui /u*ai /ninjak %/ sa/ai knaraan
= 0B278 < ;r < t
i /ana = ;r = "?atan %n?ana
= aktu ir ( i a/,i* 2B5 tk )
r =
/ = 1 + 2 + 3 + 4
ktranan K
/ = jarak anan /nEia
1 = jarak Ean i t/u: s*a/a na/atan
2 = jarak Ean ut/u: s*a/a nEiaan
3 = jarak ,,as antara knaraan Ean /nEia an knaraan Ean i sia
4 = jarak Ean i t/u: o*: knaraan Ean atan ,r*aPanan s*a/a kna
1 = 0B278 t1 ( ;r - / + 1@2 a < t1 )
i/ana = t1 = Paktu s*a/a nnara //,untuti sa/ai satu titik akan
ara: *aPan ( 3B7 - 4B3 t ) i a/,i* 4 tik
;r= k?atan rn?ana
/ = r,aan k?atan antara knaraan Ean i siakan na
Ean /nEia B i a/,i* 15 k/ @ ja/
a=
2 = 0B278Q>r Qt2
t2 = Paktu /nEia ktika knaraan Ean /nEia ,raa i ja*ur *aPan an*itian ,rkisar 9B3 - 10B4 tk . i a/,i* 9B5 tk
;rG
254 ( / R L )
k?atan rata rata ( 2B26 - 2B36 / @ tik G) i a/,i* 2B3
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3= 30 sa/ai 100 / ( i a/,i* 50 /)
4= i a/,i* 2@3 2
>>>>>>> tikungan pertama
ik
>r = 120 k/ @ j/ 33.33 / @ tk
/ = 0.255
= 2.5
L =
L*>asi ak:irtikunan - *>asi aPa*
anjan tikunan
L = 1.79 - -1.62
198.87
= 0.01712
/ = 15 k/ @ ja/ = 4B16 / @ tk
t1 = 4a = 2.3
t2 = 9.5
jarak anan :nti
= 0B278 < >r < t
= 23.167
r =
254 < (/ + L )
r = 16.075
: = + r
= 39.24
jarak anan /nEia
1 = 0B278 < t1 < ( ;r - / +1@2 < a < t1 )
= 37.5559
2 = 0B278 < ; < 2
= 88.03
3 = 50 /
4 =2
23
= 58.69
;G
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/aka / = 1 + 2 + 3 + 4
= 234.28
>>>>>>> tikungan kedua
ik
>r = 120 k/ @ j/ 33.33 / @ tk
/ = 0.255
= 2.5
L =
L*>asi ak:irtikunan - *>asi aPa*
anjan tikunan
L = 4.19 - -4.19
225.38
= 0.03721
/ = 15 k/ @ ja/ = 4B16 / @ tkt1 = 4
a = 2.3
t2 = 9.5
jarak anan :nti
= 0B278 < >r < t
= 23.167
r =254 < (/ + L )
r = 14.970
: = + r
= 38.14
jarak anan /nEia
1 = 0B278 < t1 < ( ;r - / +1@2 < a < t1 )
= 37.5559
2 = 0B278 < ; < 2
= 88.03
3 = 50 /
4 =2
23
;G
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= 58.69
/aka / = 1 + 2 + 3 + 4
= 234.28
>>>>>>> tikungan ketiga
ik
>r = 120 k/ @ j/ 33.33 / @ tk
/ = 0.255
= 2.5
L =
L*>asi ak:irtikunan - *>asi aPa*
anjan tikunan
L = 1.79 - -1.62
222.94= 0.01527
/ = 15 k/ @ ja/ = 4B16 / @ tk
t1 = 4
a = 2.3
t2 = 9.5
jarak anan :nti
= 0B278 < >r < t
= 23.167
r =254 < (/ + L )
r = 16.185
: = + r
= 39.35
jarak anan /nEia
1 = 0B278 < t1 < ( ;r - / +1@2 < a < t1 )
= 37.5559
2 = 0B278 < ; < 2
= 88.03
3 = 50 /2
;G
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3
= 58.69
/aka / = 1 + 2 + 3 + 4
= 234.28
a,* Lanai tikunan
no*>asi titik
anjan tikunan *anaiaPa* *>asi ak:ir *>asi
1 -1.619047619 1.7857142857 198.87 0.01712
2 -4.1935483871 4.1935483871 225.38 0.03721
3 -1.619047619 1.7857142857 222.94 0.01527
a,* arak anan $nti
no ;r / L r :
1 120 23.167 0.255 0.01712 16.075 39.24
2 120 23.167 0.255 0.03721 14.970 38.14
3 120 23.167 0.255 0.015 16.185 39.352
ta,* jarak anan /nEia
no >r 1 2 3 4 /
1 120 37.5559 88.03 50 58.69 234.28
2 120 37.5559 88.03 50 58.69 234.283 120 37.5559 88.03 50 58.69 234.28
PERHITUNGAN &aak pa$a$% )e$%k#$% !o"/o$ta)
!aris *nkun
, = !aris anan
, = !aris anan
/ = arak ari n:a*a
s,*a: a*a/
sanjan L
s = jarak anan
L= anjan ,usur Link
%= %aius su/,u Lajur
= % < ( 1 - ?os28B65 < s
)%
>>>>>>> tikungan pertama
ik % = 200
= 57 S 28.5
F T %
T = stna: suut us
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90
s = 198.87
/ = 395.47
>>>>>>> tikungan kedua
ik % = 170
= 76 S 38
s =F T %
90
s = 225.38
/ = 6.83
>>>>>>> tikungan ketiga
ik % = 180
= 71 S 35.5
s =F T %
90
s = 222.94
/ = 288.03
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annEa
an
i
r:nti
raan /nEia
ra*i: k-
n knaraan
n ari
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n k su/,u *ajur
ran (/ )
s,*a: a*a/
at *nkun
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r:itunan ini itik
0 = 22 + ( 12 @ 17 ) < 2 = 23.4118
1 = 22 + ( 1 @ 6 ) < 2 = 22.3333
2 = 24 + ( 5 @ 10 ) < 2 = 25
3 = 26 + ( 5 @ 10 ) < 2 = 27
4 = 28 + ( 8 @ 13 ) < 2 = 29.2308
5 = 28 + ( 3 @ 8 ) < 2 = 28.75
6 = 30 + ( 0 @ 5 ) < 2 = 30
7 = 30 + ( 64 @ 71 ) < 2 = 31.8028
8 = 28 + ( 4 @ 9 ) < 2 = 28.8889
9 = 28 + ( 0 @ 5 ) < 2 = 28
10 = 26 + ( 10 @ 15 ) < 2 = 27.3333
11 = 26 + ( 19 @ 24 ) < 2 = 27.5833
12 = 24 + ( 7 @ 12 ) < 2 = 25.1667
13 = 24 + ( 15 @ 20 ) < 2 = 25.5
14 = 24 + ( 22 @ 27 ) < 2 = 25.629615 = 24 + ( 0 @ 5 ) < 2 = 24
16 = 22 + ( 3 @ 8 ) < 2 = 22.75
17 = 22 + ( 5 @ 10 ) < 2 = 23
18 = 22 + ( 4 @ 9 ) < 2 = 22.8889
19 = 22 + ( 3 @ 8 ) < 2 = 22.75
20 = 24 + ( 0 @ 5 ) < 2 = 24
21 = 24 + ( 3 @ 8 ) < 2 = 24.75
22 = 24 + ( 1 @ 6 ) < 2 = 24.3333
23 = 26 + ( 16 @ 21 ) < 2 = 27.5238
24 = 26 + ( 16 @ 21 ) < 2 = 27.5238
25 = 26 + ( 16 @ 21 ) < 2 = 27.5238
26 = 26 + ( 18 @ 23 ) < 2 = 27.5652
27 = 26 + ( 22 @ 27 ) < 2 = 27.6296
28 = 26 + ( 11 @ 16 ) < 2 = 27.375
29 = 26 + ( 2 @ 7 ) < 2 = 26.5714
30 = 28 + ( 10 @ 15 ) < 2 = 29.3333
31 = 30 + ( 0 @ 5 ) < 2 = 30
32 = 30 + ( 3 @ 8 ) < 2 = 30.75
33 = 32 + ( 25 @ 30 ) < 2 = 33.6667
34 = 32 + ( 6 @ 11 ) < 2 = 33.0909
35 = 32 + ( 4 @ 9 ) < 2 = 32.888936 = 32 + ( 0 @ 5 ) < 2 = 32
37 = 30 + ( 11 @ 16 ) < 2 = 31.375
38 = 30 + ( 10 @ 15 ) < 2 = 31.3333
39 = 30 + ( 10 @ 15 ) < 2 = 31.3333
40 = 30 + ( 10 @ 15 ) < 2 = 31.3333
41 = 30 + ( 0 @ 5 ) < 2 = 30
42 = 30 + ( 8 @ 13 ) < 2 = 31.2308
43 = 30 + ( 18 @ 23 ) < 2 = 31.5652
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44 = 30 + ( 13 @ 18 ) < 2 = 31.4444
45 30 + ( 6 @ 11 ) < 2 = 31.0909
46 = 28 + ( 11 @ 16 ) < 2 = 29.375
47 = 28 + ( 12 @ 17 ) < 2 = 29.4118
48 = 24 + ( 23 @ 28 ) < 2 = 25.6429
49 = 24 + ( 10 @ 15 ) < 2 = 25.3333
50 = 22 + ( 18 @ 23 ) < 2 = 23.5652
51 = 22 + ( 12 @ 17 ) < 2 = 23.4118
52 = 22 + ( 9 @ 14 ) < 2 = 23.2857
53 = 22 + ( 5 @ 10 ) < 2 = 23
54 = 22 + ( 13 @ 18 ) < 2 = 23.4444
55 = 26 + ( 0 @ 5 ) < 2 = 26
56 = 28 + ( 5 @ 10 ) < 2 = 29
57 = 30 + ( 4 @ 9 ) < 2 = 30.8889
58 = 30 + ( 0 @ 5 ) < 2 = 30
59 = 30 + ( 6 @ 11 ) < 2 = 31.0909
60 = 30 + ( 11 @ 16 ) < 2 = 31.375
61 = 30 + ( 16 @ 21 ) < 2 = 31.523862 = 30 + ( 20 @ 25 ) < 2 = 31.6
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PERHITUNGAN ALIGNAMENT VERTIKAL
ALIGNAMENT VERTIKAL I
Diketahui : k1 = 2.16k2 = -13.16
Perbedaan Aljabar Landai
= k2 - k1 = -13.16 - 2.16
= 15.32 %
Panjang LV iniu = 36.!!
"ehingga #V = $ LV
3&!.!!
= 15.32 36.!!
3&!.!!
= 1.'5
Per"aaan Lengkung Vertikal
( =
2!!.!! LV
= 15.32
2!!.!! 36.!!
= 15.32
)2!!.!!
*itik PL+ = , !.!! &5.!! / - LV02
= , !.!! &5.!! / - 1&.!!
= !.!! &)).!!
*itik Pt+ = , !.!! &5.!! / LV02
AG
G
G
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= , !.!! &5.!! / 1&.!!
= !.!! 13.!!
*inggi "ta"iun
- *A !.!! '!!.!! = 33.16 - 15.32 5!.!!= 33.16 - )65.)
= -)32.63
- *A !.!! '25.!! = 33.16 - 15.32 25.!!
= 33.16 - 3&2.&
= -3'.)'
- *A !.!! '5!.!! = P+ #V
= 33.16 - 1.'5
= 3'.61
- *A !.!! ')5.!! = #le+a"i bagian *engah
= 33.16 15.32 25.!!
= 33.16 3&2.&
= '16.!5
#le+a"i ubu jalan 2!.!! dari titik P*+
= 33.16 15.32
)2!!.!!
= 33.16 15.32 '!!.!!
)2!!.!!
= 33.16 !.&5
= 3'.!1
- *A !.!! 15!.!! = 33.16 15.32 5!.!!
= 33.16 )65.)
= )&.5
G
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ALIGNAMENT VERTIKAL II
Diketahui : k1 = 1.35
k2 = -!.1!
Perbedaan Aljabar Landai
= k2 - k1 = -!.1! - 1.35
= -1.'5 %
Panjang LV iniu = 36.!!
"ehingga #V = $ LV
3&!.!!
= -1.'5 36.!!
3&!.!!
= -!.1'
Per"aaan Lengkung Vertikal
( =
2!!.!! LV
= -1.'5
2!!.!! 36.!!
= -1.'5
)2!!.!!
*itik PL+ = , !.!! 1&15.!! / - LV02
= , !.!! 1&15.!! / - 1&.!!
AG
G
G
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= !.!! 1)).!!
*itik Pt+ = , !.!! 1&15.!! / LV02
= , !.!! 1&15.!! / 1&.!!
= !.!! 1&33.!!
*inggi "ta"iun
- *A !.!! 1)65.!! = 33.5! - -1.'5 5!.!!
= 33.5! - -1.'5
= 3'.5
- *A !.!! 1)!.!! = 33.5! - -1.'5 25.!!
= 33.5! - -1.'5
= 3'.5
- *A !.!! 1&15.!! = P+ #V= 33.5! - -!.1'
= 33.36
- *A !.!! 1&'!.!! = #le+a"i bagian *engah
= 33.5! -1.'5 25.!!
= 33.5! -1.'5
= 32.!5
#le+a"i ubu jalan 2!.!! dari titik P*+
= 33.5! -1.'5
)2!!.!!
= 33.5! -1.'5 '!!.!!
)2!!.!!
= 33.5! -!.!&
= 33.'2
- *A !.!! 1&65.!! = 33.5! -1.'5 5!.!!
= 33.5! -1.'5
= 32.!5
G
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ALIGNAMENT VERTIKAL III
Diketahui : k1 = !.55
k2 = !.13
Perbedaan Aljabar Landai
= k2 - k1 = !.13 - !.55
= -!.'2 %
Panjang LV iniu = 36.!!
"ehingga #V = $ LV
3&!.!!
= -!.'2 36.!!
3&!.!!
= -!.!'
Per"aaan Lengkung Vertikal
( =
2!!.!! LV
= -!.'2
2!!.!! 36.!!
= -!.'2
AG
G
G
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)2!!.!!
*itik PL+ = , !.!! 4# / - LV02
= , !.!! 4# / - 1&.!!
= !.!! 4#
*itik Pt+ = , !.!! 4# / LV02
= , !.!! 4# / 1&.!!= !.!! 4#
*inggi "ta"iun
- *A !.!! 4# = 26.5) - -!.'2 5!.!!
= 26.5) - -2!.5
= ').52
- *A !.!! 4# = 26.5) - -!.'2 25.!!= 26.5) - -1!.'&
= 3).!5
- *A !.!! 4# = P+ #V
= 26.5) - -!.!'
= 26.53
- *A !.!! 4# = #le+a"i bagian *engah
= 26.5) -!.'2 25.!!
= 26.5) -1!.'&
= 16.1!
#le+a"i ubu jalan 2!.!! dari titik P*+
= 26.5) -!.'2
)2!!.!!
= 26.5) -!.'2 '!!.!!
)2!!.!!
= 26.5) -!.!2
= 26.55
- *A !.!! 4# = 26.5) -!.'2 5!.!!
= 26.5) -2!.5
= 5.62
G
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ALIGNAMENT VERTIKAL IV
Diketahui : k1 = !.!!
k2 = -!.2)
Perbedaan Aljabar Landai
= k2 - k1 = -!.2) - !.!!
= -!.2) %
Panjang LV iniu = 36.!!
"ehingga #V = $ LV
3&!.!!
= -!.2) 36.!!
3&!.!!
= -!.!3
Per"aaan Lengkung Vertikal
( =
2!!.!! LV
AG
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= -!.2)
2!!.!! 36.!!
= -!.2)
)2!!.!!
*itik PL+ = , !.!! 4# / - LV02= , !.!! 4# / - 1&.!!
= !.!! 4#
*itik Pt+ = , !.!! 4# / LV02
= , !.!! 4# / 1&.!!
= !.!! 4#
*inggi "ta"iun
- *A !.!! 4# = 31.33 - -!.2) 5!.!!= 31.33 - -13.35
= ''.6&
- *A !.!! 4# = 31.33 - -!.2) 25.!!
= 31.33 - -6.6&
= 3&.!1
- *A !.!! 4# = P+ #V
= 31.33 - -!.!3
= 31.3!
- *A !.!! 4# = #le+a"i bagian *engah
= 31.33 -!.!3 25.!!
= 31.33 -!.63
= 3!.)!
#le+a"i ubu jalan 2!.!! dari titik P*+
= 31.33 -!.!3
)2!!.!!
= 31.33 -!.!3 '!!.!!
)2!!.!!
= 31.33 !.!!
= 31.33
- *A !.!! 4# = 31.33 -!.!3 5!.!!
= 31.33 -1.26
= 3!.!)
G
G
G
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ALIGNAMENT VERTIKAL V
Diketahui : k1 = !.51
k2 = !.6!
Perbedaan Aljabar Landai
= k2 - k1 = !.6! - !.51
= !.! %
Panjang LV iniu = 36.!!
"ehingga #V = $ LV
3&!.!!
= !.! 36.!!
3&!.!!
= !.!1
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Per"aaan Lengkung Vertikal
( =
2!!.!! LV
= !.!
2!!.!! 36.!!= !.!
)2!!.!!
*itik PL+ = , !.!! 4# / - LV02
= , !.!! 4# / - 1&.!!
= !.!! 4#
*itik Pt+ = , !.!! 4# / LV02
= , !.!! 4# / 1&.!!
= !.!! 4#
*inggi "ta"iun
- *A !.!! 4# = 26.!! - !.! 5!.!!
= 26.!! - '.'5
= 21.55
- *A !.!! 4# = 26.!! - !.! 25.!!
= 26.!! - 2.23
= 23.)&
- *A !.!! 4# = P+ #V
= 26.!! - !.!1
= 26.!1
- *A !.!! 4# = #le+a"i bagian *engah
= 26.!! !.! 25.!!
= 26.!! 2.23
= 2&.23
#le+a"i ubu jalan 2!.!! dari titik P*+
= 26.!! !.!
)2!!.!!
= 26.!! !.! '!!.!!
)2!!.!!
= 26.!! !.!!
= 26.!!
AG
G
G
G
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- *A !.!! 4# = 26.!! !.! 5!.!!
= 26.!! '.'5
= 3!.'5
ALIGNAMENT VERTIKAL VI
Diketahui : k1 = VAL7#
k2 = VAL7#
Perbedaan Aljabar Landai
= k2 - k1 = VAL7# - VAL7#
= VAL7# %
Panjang LV iniu = 36.!!
"ehingga #V = $ LV
3&!.!!
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= VAL7# 36.!!
3&!.!!
= VAL7#
Per"aaan Lengkung Vertikal
( =2!!.!! LV
= VAL7#
2!!.!! 36.!!
= VAL7#
)2!!.!!
*itik PL+ = , !.!! 4# / - LV02
= , !.!! 4# / - 1&.!!
= !.!! 4# *itik Pt+ = , !.!! 4# / LV02
= , !.!! 4# / 1&.!!
= !.!! 4#
*inggi "ta"iun
- *A !.!! 4# = !.!! - VAL7# 5!.!!
= !.!! - VAL7#
= VAL7#
- *A !.!! 4# = !.!! - VAL7# 25.!!
= !.!! - VAL7#
= VAL7#
- *A !.!! 4# = P+ #V
= !.!! - VAL7#
= VAL7#
- *A !.!! 4# = #le+a"i bagian *engah
= !.!! VAL7# 25.!!
= !.!! VAL7#
= VAL7#
#le+a"i ubu jalan 2!.!! dari titik P*+
= !.!! VAL7#
)2!!.!!
= !.!! VAL7# '!!.!!
AG
G
G
G
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)2!!.!!
= !.!! VAL7#
= VAL7#
- *A !.!! 4# = !.!! VAL7# 5!.!!
= !.!! VAL7#
= VAL7#
ALIGNAMENT VERTIKAL VII
Diketahui : k1 = VAL7#
k2 = VAL7#
Perbedaan Aljabar Landai
= k2 - k1 = VAL7# - VAL7#
= VAL7# %
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Panjang LV iniu = 36.!!
"ehingga #V = $ LV
3&!.!!
= VAL7# 36.!!
3&!.!!
= VAL7#
Per"aaan Lengkung Vertikal
( =
2!!.!! LV
= VAL7#
2!!.!! 36.!!
= VAL7#
)2!!.!!
*itik PL+ = , !.!! 4# / - LV02
= , !.!! 4# / - 1&.!!
= !.!! 4#
*itik Pt+ = , !.!! 4# / LV02
= , !.!! 4# / 1&.!!
= !.!! 4#
*inggi "ta"iun
- *A !.!! 4# = !.!! - VAL7# 5!.!!
= !.!! - VAL7#
= VAL7#
- *A !.!! 4# = !.!! - VAL7# 25.!!
= !.!! - VAL7#
= VAL7#
- *A !.!! 4# = P+ #V
= !.!! - VAL7#
= VAL7#
- *A !.!! 4# = #le+a"i bagian *engah
= !.!! VAL7# 25.!!
= !.!! VAL7#
= VAL7#
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#le+a"i ubu jalan 2!.!! dari titik P*+
= !.!! VAL7#
)2!!.!!
= !.!! VAL7# '!!.!!
)2!!.!!
= !.!! VAL7#
= VAL7#
- *A !.!! 4# = !.!! VAL7# 5!.!!
= !.!! - VAL7#
= VAL7#
ALIGNAMENT VERTIKAL VIII
Diketahui : k1 = 4#
k2 = 4#
Perbedaan Aljabar Landai
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= k2 - k1 = 4# - 4#
= 4# %
Panjang LV iniu = 36.!!
"ehingga #V = $ LV3&!.!!
= 4# 36.!!
3&!.!!
= 4#
Per"aaan Lengkung Vertikal
( =
2!!.!! LV
= 4#
2!!.!! 36.!!
= 4#
)2!!.!!
*itik PL+ = , !.!! 4# / - LV02
= , !.!! 4# / - 1&.!!
= !.!! 4#
*itik Pt+ = , !.!! 4# / LV02
= , !.!! 4# / 1&.!!
= !.!! 4#
*inggi "ta"iun
- *A !.!! 4# = !.!! - 4# 5!.!!
= !.!! - 4#
= 4#
- *A !.!! 4# = !.!! - 4# 25.!!
= !.!! - 4#
= 4#
- *A !.!! 4# = P+ #V
= !.!! - 4#
= 4#
- *A !.!! 4# = #le+a"i bagian *engah
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= !.!! 4# 25.!!
= !.!! 4#
= 4#
#le+a"i ubu jalan 2!.!! dari titik P*+
= !.!! 4#
)2!!.!!= !.!! 4# '!!.!!
)2!!.!!
= !.!! 4#
= 4#
- *A !.!! 4# = !.!! 4# 5!.!!
= !.!! - 4#
= 4#
ALIGNAMENT VERTIKAL IX
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Diketahui : k1 = 4#
k2 = 4#
Perbedaan Aljabar Landai
= k2 - k1 = 4# - 4#
= 4# %
Panjang LV iniu = 36.!!
"ehingga #V = $ LV
3&!.!!
= 4# 36.!!
3&!.!!
= 4#
Per"aaan Lengkung Vertikal
( =
2!!.!! LV
= 4#
2!!.!! 36.!!
= 4#
)2!!.!!
*itik PL+ = , !.!! 4# / - LV02
= , !.!! 4# / - 1&.!!
= !.!! 4#
*itik Pt+ = , !.!! 4# / LV02
= , !.!! 4# / 1&.!!
= !.!! 4#
*inggi "ta"iun
- *A !.!! 4# = !.!! - 4# 5!.!!
= !.!! - 4#
= 4#
- *A !.!! 4# = !.!! - 4# 25.!!
= !.!! - 4#
= 4#
- *A !.!! 4# = P+ #V
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= !.!! - 4#
= 4#
- *A !.!! 4# = #le+a"i bagian *engah
= !.!! 4# 25.!!
= !.!! 4#
= 4#
#le+a"i ubu jalan 2!.!! dari titik P*+
= !.!! 4#
)2!!.!!
= !.!! 4# '!!.!!
)2!!.!!
= !.!! 4#
= 4#
- *A !.!! 4# = !.!! 4# 5!.!!= !.!! - 4#
= 4#
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PERHITUNGAN LUAS DAN VOLUME GALIAN TIMBUNAN
*A ! 5!
*ibunan = !.5 !.63 3.5 2 = 2.2!5
V8lue = 11!.25
*A ! 5!9alian = !.5 3.62 ) = 12.6)
V8lue = 633.5
*A ! 5!
*ibunan = !.5 !.1) 3.5 = !.2)5
V8lue = 1'.&)5
9alian = !.5 !.'2 3.5 = !.)35
V8lue = 36.)5
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