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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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