Geometrais.xlsx

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Tikungan 1 perencanaan untuk kelas II A Diketahui : Vr = Rc = � = C

90 Km/Jam 480 60 o 0.4 (perubahan kecepatan dari 0,1 - 0,4)

=

Fm

=

0.00125

=

0.35

=

1432.39 Rc

=

1432.39 480

=

2.98

Nilai e Ls

= =

0.081 80

Ls min

=

0.022

Vr3 Rc.C

-

x =

0.022

729000 192

-

Maka D

x

x

90

(digunakan Untuk interpolasi)

=

84 -

=

34

50

Syarat

:

Ls min

<

34

<

80

=

Ls

x x

90 Rc

=

80 3.14

x x

90 480

θs

π

=

+

Ls

5

Syarat



� 10

θc



< <

60

(Aman)

= =

-

2θs

60

-

=

60

-

=

50

o

> >

0 0

2

x 10

Syarat 50

θc Lc

=

θc

Syarat Lc 422

P

x

2

50 360

x

2

=

422

m

≥ ≥

20 20

=

Ls2 6 xθs Rc

=

=

K

(Aman)

π

x

360

(Aman)

-

6400 2880

-

=

2.22

-

=

0.55

m

=

Ls

=

80

=

80

x

Rc

480

1.67

Ls3

θs

-

40 x Rc 2 512000 9216000 -

40

= TS

=

(

=

440

=

θs

+ -

0.55

x

0.87

+

m ( Rc + P ) Cos 1/2 B

)

480

480.55 0.87

=

75

m

=

LC

+

=

422

+

=

490

< <

2 Ts 879

θc

-

+ Cos 1/2 x

=

Kelas jalan IIA �

+k

480

=

(

490

)

480.55

=

Syarat L

( Rc + P ) tan 1/2 B

=

Es

L

40

0.55 60

-

- 480

2 Ls 68

(Aman)

Vr Rc

= =

90 480

km/jam m

60 80

o

LS

= = =

5

o

n dari 0,1 - 0,4) 0.24 2.98 3.00

-

2.50 2.50

=

0.48 0.50 0.081

2.727

x

Vr x e C

2.727

x

7.2615 0.4

=

5

Rc

3.14

(1- cos

x

480

Sin

5

)

0.0035

Rc Sin

480

tan 1/2

60

+

40

40

RC

480

km/jam

= Lc =

50 o 422

P = K =

0.55 40

Ts =

440

e 0.081 e 0.010

-

0.071 0.071 0.071

Tikungan 1 perencanaan untuk kelas II A Diketahui : Vr = Rc = � = C

90 Km/Jam 500 60 o 0.4 (perubahan kecepatan dari 0,1 - 0,4)

=

Fm

=

0.00125

=

0.35

=

1432.39 Rc

=

1432.39 500

=

2.86

Nilai e Ls

= =

0.078 80

Ls min

=

0.022x

Vr3 Rc.C

-

2.727

x

Vr x e C

=

0.022x

729000 200

-

2.727

x

7.046604 0.4

Maka D

x

90

0.24

(digunakan Untuk interpolasi)

=

80 -

=

32

48

Syarat

:

Ls min

<

32

<

80

θs

=

Ls

x x

90 Rc

=

80 3.14

x x

90 500

=

+

Ls

π

4.586

Syarat



9.172

θc

< <



=



=

60

(Aman) -

60

-

2θs 2

=

60

-

=

50.828

o

θc

> >

0 0

Lc

=

θc

x

2

=

50.828 360

x

2

=

443

Syarat Lc 443

≥ ≥

20 20

P

=

Ls2

x

4.586

9.17197

Syarat 50.828

360

6 x Rc

K

(Aman)

π x x

Rc

3.14

x

500

Sin

4.586

m

(Aman)

-

=

6400 3000

-

=

2.13

-

=

0.53

m

=

Ls

Rc

(1- cosθs )

500

0.0032

1.60

Ls3 40 x Rc

-

2

=

80

512000 10000000

=

80

-

40

-

Rc Sin θs 500

= TS

= = = =

Es

L

Syarat L 508

40 ( Rc + P ) tan 1/2 B ( 500

-

459.7

m

=

0.53 )

+

500.53

+k

0.87

( Rc + P ) Cos 1/2 B

=

( 500 + Cos 1/2 x

=

500.53 0.87

=

78

m

=

LC

+

=

443

+

=

508

< <

2 Ts 919.4

x

tan 1/2

+

40

LS

θs

+

40

- RC 0.53 ) - 500 60

- 500

2 Ls 64

(Aman)

Kelas jalan IIA Vr Rc �

60

= =

90 500

km/jam m

= =

60 80

o

=

4.586

o

θc

= Lc =

50.828 o 443

P = K =

0.53 40

Ts =

459.7

2.86 3.00

-

2.50 2.50

0.36 0.50 0.078

=

e 0.081

=

e 0.010

-

0.071 0.071 0.071

PERENCANAAN TIPE TIKUNGAN S-S Diketahui

Vr = Rc = β=

90 520 45

km/jam m

π=

3.14

o

SILAHKAN DI ISI DATA DIATAS θs = = = Ls =

1 2 1 2 22.50 θs

x

β

x

45

o

x

π

x

Rc

x

520

90 22.50

x

408

m

Ls 6

^ x

2 Rc

-

Rc

(

1

-

cos

=

408 6

^ x

2 520

-

520

(

1

-

cos

=

14

k=

Ls

-

Ls 40

^ x

3 Rc

^

2

-

Rc

x

sin

=

408

-

408 40

^ x

3 520

^

2

-

520

x

sin

=

203

= = p=

3.14 90

θs

22.50 )

Ts =

(

Rc

+

P

)

x

tan

θs

+

=

(

520

+

14

)

x

tan

22.50

+

=

424

Rc

+

P

)

-

Rc

Es =

(

)

k 203

Es =

= =

cos (

θs

520 cos

+

14 22.50

TS 424

> >

LS 408

)

-

Rc

-

520

58

SYARAT

AMAN

RC Maka di peroleh e tabel e

= = =

sin

θs

sin

22.50

203

520 0.07 0.07

PERENCANAAN TIPE TIKUNGAN S-S Diketahui

Vr = Rc = β=

90 530 45

km/jam m

π=

3.14

o

SILAHKAN DI ISI DATA DIATAS θs = = = Ls =

1 2 1 2 22.50 θs

x

β

x

45

o

x

π

x

Rc

x

530

90 22.50

x

416

m

Ls 6

^ x

2 Rc

-

Rc

(

1

-

cos

=

416 6

^ x

2 530

-

530

(

1

-

cos

=

14

k=

Ls

-

Ls 40

^ x

3 Rc

^

2

-

Rc

x

sin

=

416

-

416 40

^ x

3 530

^

2

-

530

x

sin

=

207

= = p=

3.14 90

θs

22.50 )

Ts =

(

Rc

+

P

)

x

tan

θs

+

=

(

530

+

14

)

x

tan

22.50

+

=

432

Rc

+

P

)

-

Rc

Es =

(

)

k 207

Es =

= =

cos (

θs

530 cos

+

14 22.50

TS 432

> >

LS 416

)

-

Rc

-

530

59

SYARAT

AMAN

RC Maka di peroleh e tabel e

= = =

sin

θs

sin

22.50

207

530 0.07 0.07

PANJANG " Ls " UNTUK VARIASI KECEPATAN D (°) 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 2.50 3.00 3.50 4.00 4.50 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00

R (m) 5730 2865 1910 1432 1146 955 819 716 573 477 409 358 318 286 239 205 179 159 143 130 119 110 102 95 90 84 80

V = 40 km/jam e Ls LN 35 LN 35 LN 35 LN 35 LN 35 LP 35 LP 35 LP 35 LP 35 LP 35 0.023 35 0.026 35 0.029 35 0.032 35 0.038 35 0.043 35 0.049 35 0.053 35 0.056 35 0.062 35 0.066 35 0.070 35 0.073 35 0.077 35 0.080 35 0.082 35 0.085 40

V = 50 km/jam e Ls LN 30 LN 30 LN 30 LP 30 LP 30 LP 30 LP 30 0.021 40 0.026 40 0.030 40 0.035 40 0.039 40 0.044 40 0.048 40 0.055 40 0.062 40 0.068 40 0.074 40 0.079 40 0.084 40 0.088 40 0.091 40 0.094 50 0.097 50 0.098 50 0.100 50 0.100 50

V = 60 km/jam e Ls LN 50 LN 50 LP 50 LP 50 LP 50 0.023 50 0.026 50 0.029 50 0.036 50 0.042 50 0.048 50 0.054 50 0.059 50 0.064 50 0.072 50 0.080 50 0.086 50 0.091 60 0.095 60 0.098 60 0.099 60 Dmaks = 12,78

V = 70 km/jam e Ls LN 60 LP 60 LP 60 0.021 60 0.025 60 0.030 60 0.035 60 0.039 60 0.047 60 0.055 60 0.062 60 0.068 60 0.074 60 0.079 60 0.088 60 0.094 60 0.098 70 0.099 70 0.100 70 Dmaks = 9,13

V = 80 km/jam e Ls LN 70 LP 70 0.020 70 0.027 70 0.033 70 0.038 70 0.044 70 0.049 70 0.059 70 0.068 70 0.076 70 0.082 70 0.088 70 0.093 70 0.099 70 0.100 80 Dmaks = 6,82

V = 90 km/jam e Ls LN 80 LP 80 0.025 80 0.033 80 0.040 80 0.047 80 0.054 80 0.060 80 0.071 80 0.081 80 0.089 80 0.095 80 0.098 80 0.100 90 Dmaks = 5,12

V = 100 km/jam e LP 0.021 0.031 0.040 0.049 0.057 0.065 0.072 0.085 0.094 0.099 0.100 Dmaks = 3,91

19.00 20.00 21.00 22.00 23.00 24.00 25.00 26.00 27.00 28.00 29.00 30.00

75 72 69 65 62 60 57 55 53 51 49 48

0.087 40 0.090 40 0.092 45 0.093 45 0.095 45 0.096 45 0.097 45 0.098 50 0.099 50 0.0996 50 0.0999 50 Dmaks = 29,90

Dmaks = 18,85

V = 100 km/jam Ls 90 90 90 90 90 90 90 90 90 90 90 90 Dmaks = 3,91

V = 120 km/jam e Ls LP 100 0.030 100 0.043 100 0.055 100 0.066 100 0.076 100 0.090 100 0.096 100 0.100 100 Dmaks = 2,40

2. PERHITUNGAN SUPERELEVASI PADA TIKUNGAN A. Tikungan 1 diketahui : Vr Rc

= =

Maka Fm

=

-0.00125 x VR +

=

-0.00125

=

0.128

e

Syarat

90 480

=

km/ Jam

x

Vr2 127

x Rc

=

8100 60960

-

=

0.005

= =

0.24 90

+

-

Fm

0.24

0.128

e < e tabel 0.005

<

Landai Relatif

=

(

0.02

+

=

(

0.02

+

=

e maks

0.081

< <

0.081 90

127

Vr2 x

Rc

127

8100 x

480

=

Syarat e maks 0.005

e tabel vr

x

3.5 )

x

3.5

-

Fm

-

0.1275

0.0039

=

=

(Aman)

0.005

e tabel 0.081

(Aman)

)

2. PERHITUNGAN SUPERELEVASI PADA TIKUNGAN B. Tikungan 2 diketahui : Vr Rc

= =

Maka Fm

=

-0.00125 x VR +

=

-0.00125

=

0.128

e

Syarat

90 500

=

km/ Jam

x

Vr2 127

x Rc

=

8100 63500

-

=

0.000

= =

0.24 90

+

-

Fm

0.24

0.128

e < e tabel 0.000 Landai Relatif

<

0.02

+

(

0.02

+

=

=

=

< <

e tabel vr 0.078 90

x

3.5 )

x

3.5

-

Fm

-

0.1275

0.0038

127

Vr2 x

Rc

127

8100 x

500

=

Syarat e maks 0.000

(Aman)

= ( =

e maks

0.078

0.000

e tabel 0.078

(Aman)

)

2. PERHITUNGAN SUPERELEVASI PADA TIKUNGAN C. Tikungan 3 diketahui : Vr Rc

= =

Maka Fm

=

-0.00125 x VR +

=

-0.00125

=

0.128

e

Syarat

90 520

=

km/ Jam

x

Vr2 127

x Rc

=

8100 66040

-

=

-0.005

= =

0.24 90

+

-

Fm

0.24

0.1275

e < e tabel -0.005 Landai Relatif

)

<

0.02

+

(

0.02

+

=

=

=

< <

e tabel vr 0.071 90

x

x

0.0035

127

Vr2 x

RC

127

8100 x

520

=

Syarat e maks -0.005

(Aman)

= ( =

e maks

0.071

-0.005

e tabel 0.071

(Aman)

-

-

2. PERHITUNGAN SUPERELEVASI PADA TIKUNGAN D. Tikungan 4 diketahui : Vr Rc

= =

Maka Fm

=

-0.00125 x VR +

=

-0.00125

=

0.128

e

Syarat

=

3.5

km/ Jam

=

8100 67310

-

=

-0.007

-

0.1275

e < e tabel -0.007 Landai Relatif

)

<

0.02

(

0.02

=

e maks

0.071

= (

=

Fm

90

Vr2 x Rc

=

0.24

x

127

= 3.5 )

90 530

vr

90 0.0035

=

Vr2 127

=

0.1275

8100 127

= Syarat e maks -0.007

< <

-0.007

e tabel 0.071

+

0.24

Fm

(Aman) +

e tabel vr

+

0.071 90

Vr2 x

RC

8100 x

530

(Aman)

x

3.5 )

x

3.5

-

Fm

-

0.1275

)

pelebaran pada tikungan Rumus : B

= n x ( B' + C ) + ( n - 1 ) x Td + z

B n B' Td C P z A L

= = = = = = = = =

Keterangan : Lebar perkerasan jalan pada tikungan jumlah jalur lalu lintas lebar lintas truk pada tikungan lebar melintang akibat tanjakan depan (m) kebebasan samping ( 0,4 - 0,8 ) jarak roda depan dengan roda belakang ( 3,4 m ) Lebar tambahan karena kelalaian dalam mengemudi (m) Jarak ujung mobil dengan ban depan (0,9 m) Lebar mobil (2,1)

P A L

Tikungan 1 Diketahui : Rc Vr

= =

480 90

m km/ jam

B'

=

L

=

2.1

+ (Rc

=

2.1

=

2.1

=

2.1

=

2.112042

Td

= √ Rc

2

- √ Rc2 - P2)

+ ( 480

-

+ ( 480

-

+

( 480

-

11.56

)

x

3.40

+

√230400

- √230388.4 )

+ 0.012042

479.988 )

+ n ( 2 x P x A ) - Rc

= √ 230400

+

= √230415.4 =

480.016 -

=

0.016041 m

2

x

480 480

( 2

0.9

) -

480

Z

B

=

0.105

x Rc

Vr

=

0.105 x √ 480

90

=

9.45 21.909

=

0.431

= n x ( B' + C ) + ( n - 1 ) x Td + z =

x ( 2.112

2

= 5.024084 + 0.016041 =

0.4 )

+ +

0.431

m <

7m

+ (

2

-

x

0.016

+

5.471 Karena B =

5.471

Maka tidak perlu di adakan pelebaran jalan

Tikungan 2 Diketahui : Rc Vr

= =

500 90

m km/ jam

B'

=

L

=

2.1

+ (Rc

=

2.1

=

2.1

=

2.1

=

2.11156

Td

1 )

= √ Rc √

2

- √ Rc2 - P2)

+ ( 500

-

+ ( 500

-

+

+

( 500

√250000

- √249988.4 )

0.01156

499.9884 )

+ n ( 2 x P x A ) - Rc (

-

11.56

)

= √ 250000

+

2

= √250015.4 -

Z

B

=

500.0154 -

=

0.0154 m

500

0.105

x Rc

Vr

=

0.105 x √ 500

90

9.45 22.361

=

0.423

( 2

x

3.40

+

2

-

0.9

) -

500

500

=

=

x

= n x ( B' + C ) + ( n - 1 ) x Td + z = = =

x ( 2.112

2

5.02312 +

0.4 )

+

0.0154

+

0.423

5.461

m <

7m

+ (

1 )

x

0.015

+

5.461 Karena B =

Maka tidak perlu di adakan pelebaran jalan

Tikungan 3 Diketahui : Rc Vr

= =

520 90

m km/ jam

B'

=

L

=

2.1

+ (Rc

=

2.1

=

2.1

=

2.1

- √ Rc2 - P2)

+ ( 520

-

+ ( 520

-

+

( 520

+ 0.011116

√270400

- √270388.4 )

519.9889 )

-

11.56

)

=

Td

2.111116

= √ Rc

2

+ n ( 2 x P x A ) - Rc

= √ 270400

+

2

= √270415.4 -

Z

B

=

520.0148 -

=

0.014807 m

520

0.105

x Rc

Vr

=

0.105 x √ 520

90

9.45 22.804

=

0.414

( 2

x

3.40

+

2

-

0.9

) -

520

520

=

=

x

= n x ( B' + C ) + ( n - 1 ) x Td + z =

x ( 2.111

2

= 5.022231 + 0.014807 =

+

0.4 )

+

0.414

m <

7m

+ (

1 )

x

0.015

+

5.451 Karena B =

5.451

Maka tidak perlu di adakan pelebaran jalan

Tikungan 4 Diketahui : Rc Vr

= =

530 90

m km/ jam

B'

=

L

+ (Rc (

- √ Rc2 - P2)

)

=

2.1

=

2.1

=

2.1

=

2.1

=

Td

+ ( 530

-

+ ( 530

-

+

+

= √ Rc

2

)

x

0.00

+

0

2

-

1 )

- √ 280900 ) 530

0

)

+ n ( 2 x P x A ) - Rc +

= √ 280900 -

B

0

2.1

= √ 280900

Z

( 530

-

√280900

=

530 -

=

0 m

2 530

0.105

x Rc

Vr

=

0.105 x √ 530

90

9.45 23.022

=

0.410

( 2

) -

530

530

=

=

x

= n x ( B' + C ) + ( n - 1 ) x Td + z =

2

=

5

=

5.410 Karena B =

x ( 2.100

+

+

0.4 )

0

+

0.410

5.410

m <

7m

+ (

x

0.000

+

Maka tidak perlu di adakan pelebaran jalan

3.4 0.9 2.1

0.431

0.423

0.414

0.410

Perhitungan Landai Relatif pada lengkung Horisontal

Tikungan 1 Diketahui : Rc �

Ls e B Landai Relatif I/m

= = = = =

480 60 80 0.081 5.471

=

e x B Ls

=

8.1

=

0.552

8.1 %

x 80

Jarak Pandang Lengkung Horisontal R' = Rc - B = 480 = 474.529 m θ = =

S

m

1 2 1 2

=

30.0

=



5.5

5.471

� x

60

2 x ∏ x R'

360

x

=

60 360

x

=

496.673 m

2

= S x ( 1 - Cos θ )

x

=

496.673 x ( 1 - cos 30.0 )

=

496.673

x

=

66.542

m

0.13

3.14

x 474.529

Tikungan 2 Diketahui : Rc �

Ls e B Landai Relatif I/m

= = = = =

500 60 80 0.078 5.461

=

e x B Ls

=

7.8

=

0.534

7.8 %

x 80

Jarak Pandang Lengkung Horisontal R' = Rc - B = 500 = 494.539 m θ = =

S

m

1 2 1 2

=

30.0

=



5.5

5.461

� x

60

2 x ∏ x R'

360

x

=

60 360

x

=

517.617 m

2

= S x ( 1 - Cos θ )

x

=

517.617 x ( 1 - cos 30.0 )

=

517.617

x

=

69.348

m

0.13

3.14

x 494.539

Tikungan 3 Diketahui : Rc �

Ls e B Landai Relatif I/m

= = = = =

520 45 408.20 0.071 5.451

=

e x B Ls

=

7.1

=

0.095

7.1 %

x 408.2

Jarak Pandang Lengkung Horisontal R' = Rc - B = 520 = 514.549 m θ = =

S

m

1 2 1 2

=

22.5

=



5.5

5.451

� x

45

2 x ∏ x R'

360

x

=

45 360

x

=

403.921 m

2

= S x ( 1 - Cos θ )

x

=

403.921 x ( 1 - cos 22.5 )

=

403.921

x

=

30.747

m

0.08

3.14

x 514.549

Tikungan 4 Diketahui : Rc �

Ls e B Landai Relatif I/m

= = = = =

530 45 416.05 0.071 % 5.410

=

e x B Ls

=

7.1

=

0.092

x 416.05

Jarak Pandang Lengkung Horisontal R' = Rc - B = 530 = 524.590 m θ = =

S

m

1 2 1 2

=

22.5

=



7.1

5.4

5.410

� x

45

2 x ∏ x R'

360

x

=

45 360

x

=

411.803 m

2

= S x ( 1 - Cos θ )

x

=

411.803 x ( 1 - cos 22.5 )

=

411.803

x

=

31.347

m

0.08

3.14

x 524.590

PERHITUNGAN JARAK PANDANG PADA LENGKUNG HORIZONTAL 1.

TIKUNGAN 1 Dik :

Rc β Ls B

= = = =

480 60 80 5.471

m Π = 3.14 ⁰ m m (diperoleh dari perhitungan pelebaran jalan)

R'

=

Rc

-

=

480

-

=

477.264

penye : -

-

θ

= = =

-

S

2.

m

*

β

*

60

=

β * 360 60 * 360 499.5366 m

= = = =

S *( 499.5366 * ( 499.5366 * 66.925

= =

-

1 2 1 2 30

B 2 5.471 2

2

*

Π

*

R'

2

*

3.14

*

477.264

1 1 0.134

cos θ ) cos

30 )

TIKUNGAN 2 Dik :

Rc β Ls B

= = = =

500 60 80 5.461

m Π 3.14 ⁰ m m (diperoleh dari perhitungan pelebaran jalan)

penye : -

-

R'

θ

=

Rc

-

=

500

-

=

497.269

= = =

-

S

3.

m

*

β

*

60



=

β * 360 60 * 360 520.4753 m

= = = =

S *( 520.4753 * ( 520.4753 * 69.73047 m

= =

-

1 2 1 2 30

B 2 5.461 2

2

*

Π

*

R'

2

*

3.14

*

497.269

1 1 0.134

cos θ ) cos

30 )

TIKUNGAN 3 Dik :

Rc β Ls B

= = = =

520 45 80 5.451

m Π 3.14 ⁰ m m (diperoleh dari perhitungan pelebaran jalan)

R'

=

Rc

-

=

520

-

=

517.274

penye : -

-

θ

=

1

*

B 2 5.451 2

β

-

θ

= = =

-

S

4

m

*

β

*

45



=

β * 360 45 * 360 406.0603 m

= = = =

S *( 406.0603 * ( 406.0603 * 30.9095 m

= =

-

2 1 2 22.5

2

*

Π

*

R'

2

*

3.14

*

517.274

1 1 0.0761

cos θ ) cos

22.5 )

TIKUNGAN 4 Dik :

Rc β Ls B

= = = =

530 45 80 5.410

m Π 3.14 ⁰ m m (diperoleh dari perhitungan pelebaran jalan)

R'

=

Rc

-

=

530

-

=

527.295

penye : -

-

θ

= = =

-

S

= =

1 2 1 2 22.5

β 360 45 360

B 2 5.410 2

*

β

*

45

*

2

*

Π

*

R'

*

2

*

3.14

*

527.295



-

m

=

413.9264 m

= = = =

S *( 413.9264 * ( 413.9264 * 31.50827 m

1 1 0.0761

cos θ ) cos

22.5 )

Jarak Pandang Henti Rumus Dh Dp

= =

Dr

=

Dh Dp Dr t Fm

= = = = =

Dh + Dr 0.278

x Vr x t

Vr2 254 x Fm

keterangan Jarak Pandang Henti Jarak dari saat melihat rintangan sampai menginjak pedal rem Jarak pengereman waktu siap ( 2,5 detik ) koefisien gesek minimum antara ban dan muka jalan dalam arah memanjang jalan

Daerah Datar Diketahui Vr t Fm

: = = =

90 2.5 0.285

km/ jam detik

Dp

= = =

0.278 0.278 62.55

x x m

Dr

=

Vr2 254 x Fm

= 254

Dh

Vr 90

8100 x 0.285

=

111.894 m

= = =

Dp + Dr 62.55 + 111.894 174.444 m Daerah Bukit

Diketahui Vr t Fm

: = = =

70 2.5 0.300

km/ jam detik

x x

t 2.5

Dp

= = =

Dr

=

0.278 0.278 48.65

254

Dh

= = =

Vr 70

x x

t 2.5

x x

t 2.5

Vr2 254 x Fm

=

=

x x m

4900 x

0.3

64.304 m Dp + Dr 48.65 + 64.304 112.954 m Daerah Gunung

Diketahui Vr t Fm

: = = =

50 2.5 0.330

km/ jam detik

Dp

= = =

0.278 0.278 34.75

x x m

Dr

=

Vr2 254 x Fm

= 254 = Dh

= = =

Vr 50

2500 x

0.33

29.826 m Dp + Dr 34.75 + 29.826 64.576 m

jarak pandang menyiap rumus D D1=+ D2 + D3 + D4 D1 = 0.278 x t1 x

(

T1 x Vr - m + a - t1 2 D2 = 0.278 x Vr + t2 D3 = 30-100 meter D4 = 2 d2 3

)

Daerah datar diketahui Vr = m =

90 15

km/ jam

data dari tabel jp 1 di peroleh t1 t2 a

= = =

4.72 11.36 2.412

D1

=

0.278

x

4.72

=

1.31216

x

73.846

=

96.90

=

0.278

x

Vr

x

t2

=

0.278

x

90

x

11.36

=

284.2272

m

D2

D3

=

60

D4

=

2 3

=

2

detik detik km/ jam

m

(

90

- 15

(di peroleh dari tabel jp 2) d2

284

+

2 - 4.72 2

)

3 =

189.485

284 m

Jadi D = D1 + D2 + D3 + d4 D

=

96.90

+

=

630.610 m

284.2

+

60

+

189.485

Daerah Bukit diketahui Vr = m =

70 15

detik

data dari tabel jp 1 di peroleh t1 t2 a

= = =

4.2 10.4 2.34

D1

=

0.278

x

=

1.1676

x

=

63.13

=

0.278

x

Vr

x

t2

=

0.278

x

70

x

10.4

=

202.384

m

D2

detik detik km/ jam 4.2

=

40

D4

=

2 3

d2

=

2 3

202

=

134.923

m

70

- 15

54.07

m

D3

(

(di peroleh dari tabel jp 2)

Jadi D = D1 + D2 + D3 + d4

+

2 - 4.2 2

)

D

=

63.13

+

=

440.439 m

202.4

+

40

+

134.923

Daerah gunung diketahui Vr = m =

50 15

km/ jam

data dari tabel jp 1 di peroleh t1 t2 a

= = =

3.68 9.44 2.268

D1

=

0.278

x

3.68

=

1.023

x

34.294

=

35.08

=

0.28

x

Vr

x

t2

=

0.28

x

50

x

9.44

=

131.22

m

D2

detik detik km/ jam

m

D3

=

60

D4

=

2 3

d2

=

2 3

131

=

87.477

m

(

50

- 15

+

2 - 3.68 2

)

(di peroleh dari tabel jp 2)

Jadi D = D1 + D2 + D3 + d4 D

=

35.08

+

131.2

+

60

+

87.477

=

313.777 m

Derajat lengkung maksimum Tikungan 1 Rumus : Dmax

=

181912.53 ( e max + F max ) Vr2

Tikungan 1 diketahui : e max = f max = Vr =

0.005 0.128 90

Maka Dmax

=

=

Tikungan 2 Rumus : Dmax

=

181913.53 (0.005374

+ 8100

0.1275 )

2.984

181912.53 ( e max + F max ) Vr2

Tikungan 1 diketahui : e max = f max = Vr =

0.000 0.128 90

Maka Dmax

=

=

Tikungan 3 Rumus : Dmax

=

181913.53 (5.91E-05 2.865

181912.53 ( e max + F max ) Vr2

Tikungan 1 diketahui : e max =

+ 8100

-0.005

0.1275 )

f max Vr

= =

0.128 90

Maka Dmax

=

=

Tikungan 4 Rumus : Dmax

=

181913.53 (-0.00485

+ 8100

0.1275 )

2.755

181912.53 ( e max + F max ) Vr2

Tikungan 1 diketahui : e max = f max = Vr =

-0.007 0.128 90

Maka Dmax

=

=

181913.53 (-0.00716 2.703

+ 8100

0.1275 )

Perhitungan Derajat lengkung cekung

a.

1. P6-p8

Dik :

200

q1 q2 PPV LV

= = = =

0.23 0.17 25.02 300

% % m m

Tinggi Stasiun

A

= = =

q1

-

0.17

*

100

*

100

* 800 * 800

LV

p6 p7 p8

= = =

24.79 25.02 25.19

100

R

= = =

EV

= = =

Y

= = =

0.23 0.06 LV A 300 0.06 477551 A 0.06 0.02 A 200 0.06 200 0.06

* * * * * 60000

q2

300

X² LV X² 300 X²

2. P14-P16

Dik :

200

q1 q2 PPV LV

= = = =

0.11 0.11 26.36 300

% % m m

Tinggi Stasiun

A

= = =

q1

-

0.11

*

100

*

100

P14 P15 P16

100

R

= = =

0.11 0.00 LV A 300 0.00 31500000

q2

= = =

26.25 26.36 26.47

EV

= = =

Y

= = =

3

* 800 * 800

0.00 0.00 A 200 0.00 200 0.00

* * * * * 60000

LV 300

X² LV X² 300 X²

P21-P23

Dik :

100

A

q1 q2 PPV LV

= = = =

0.00 0.04 26.80 200

% % m m

Tinggi Stasiun

A

= = =

q1

-

0.04

*

100

*

100

* 800 * 800

LV

P21 P22 P23

100

R

= = =

EV

= = =

Y

= = =

0.00 -0.04 LV A 200 -0.04 -500175 A -0.04 -0.01 A 200 -0.04 200 -0.04

* * * * * 40000

q2

200

X² LV X² 200 X²

= = =

26.81 26.80 26.84

JARAK LANGSUNG 0 100 200 250 300

Tinggi stasiun 24.79 24.91 25.02 25.11 25.19

X 0 100 200 50 0

X² 0 10000 40000 2500 0

Y 0.00 0.01 0.04 0.00 0.00

Tinggi total patok 24.79 24.90 24.98 25.11 25.19

JARAK LANGSUNG 1550 1650 1750 1800 1850

Tinggi stasiun 26.25 26.31 26.36 26.41 26.47

X 0 100 200 50 0

X² 0 10000 40000 2500 0

Y 0 0.00 0.00 0.00 0

Tinggi total patok 26.25 26.31 26.36 26.41 26.47

JARAK LANGSUNG 0 50 100 150 200

Tinggi stasiun 26.81 26.81 26.80 26.82 26.84

X 0 50 100 50 0

X² 0 2500 10000 2500 0

Y 0 0.00 -0.01 0.00 0

Tinggi total patok 26.81 26.81 26.81 26.83 26.84

cekung tinggi totalnya bertambah

cekung tinggi totalnya bertambah

cekung tinggi totalnya bertambah

Perhitungan Derajat lengkung cembung

b. 1.

P2-P4

Dik :

100

q1 q2 PPV LV

= = = =

0.12 0.07 24.63 200

% % m m

A

= = =

q1

-

0.07

*

100

*

100

* 800 * 800

LV

= = =

EV

= = =

Y

= = =

= = =

24.51 24.63 24.70

0.12 0.06 LV A 200 0.06 347368.42 A 0.06 0.01 A 200 0.06 200 0.06

* * * * * 40000

q2

200

X² LV X² 200 X²

P10 - P12

Dik :

100

P2 P3 P4

100

R

2.

Tinggi Stasiun

q1 q2 PPV LV

= = = =

0.49 -0.26 26.18 200

% % m m

Tinggi Stasiun

A

= = =

q1

-

-0.26

*

100

*

100

p10 p11 p12

100

R

= = =

0.49 0.74 LV A 200 0.74 26870.95

q2

= = =

25.70 26.18 25.93

EV

= = =

Y

= = =

3.

* 800 * 800

0.74 0.19 A 200 0.74 200 0.74

* * * * * 40000

LV 200

X² LV X² 200 X²

p18 -p20

Dik :

100

A

q1 q2 PPV LV

= = = =

0.12 0.01 29.00 300

% % m m

Tinggi Stasiun

A

= = =

q1

-

0.01

*

100

*

100

* 800 * 800

LV

P18 P19 P20

200

R

= = =

EV

= = =

Y

= = =

0.12 0.11 LV A 300 0.11 278858.89 A 0.11 0.04 A 200 0.11 200 0.11

* * * * * 60000

q2

300

X² LV X² 300 X²

= = =

28.86 29.00 28.50

JARAK LANGSUNG 300 350 400 450 500

Tinggi stasiun 24.51 24.57 24.63 24.67 24.70

X 0 50 100 50 0

X² 0 2500 10000 2500 0

Y 0.00 0.00 0.01 0.00 0.00

Tinggi total patok 24.51 24.57 24.62 24.66 24.70

JARAK LANGSUNG 3000 3050 3100 3150 3200

Tinggi stasiun 25.70 25.94 26.18 26.05 25.93

X 0 50 100 50 0

X² 0 2500 10000 2500 0

Y 0 0.05 0.19 0.05 0

Tinggi total patok 25.70 25.89 26.00 26.01 25.93

JARAK LANGSUNG 3360 3410 3460 3560 3660

Tinggi stasiun 28.86 28.93 29.00 28.75 28.50

X 0 50 100 100 0

X² 0 2500 10000 10000 0

Y 0 0.00 0.02 0.02 0.00

Tinggi total patok 28.86 28.92 28.98 28.73 28.50

cembung nilai total patok berkurang

cembung nilai total patok berkurang

cembung nilai total patok berkurang

Jarak Penyinaran Lampu Kendaraan Rumus : L

=

2

S

P0 P2

= 18.00 = 20.10

A

=

q2

-

q1

=

P0

-(

-

200

h

+

Tan α

A Dik :

penye :

= 18.00

q2

= -0.012 = 0.50

q1

P0 50 - ( 18.00 50

+ +

A

= 0.500 = 0.512

- -0.012

Lv

=

2

S

-

200

100

=

2

S

-

200

100

=

2

S

-

200

= 2 S = 246.8 2 = 123.4

-

246.8

100 S

0.6 ) 0.6 )

( 0.6

+ 0.50 ( 0.6 + 0.50 * 0.50

tan α 0.017 0.617

)

4. Volume Timbunan dan Galian a. timbunan atau cekung 1. Patok (P0 - P2) Dik: L = 100 T = 19.03 = 0.02 b = 7 penye: 1 A = 2 1 = 2 = 0.625 = 1.250 V = A = 1.250 = 8.75 2. Patok (P21 - P23) Dik: L = 100 T = 21.42 = 0.05 b = 7 penye: 1 A = 2 1 = 2 = 1.37 = 2.75 V = A = 2.75 = 19.22 3. Patok (P32 - P34) Dik: L = 50 T = 18.65 = 0.03 b = 7 penye: 1 A = 2

= -

50 19.00

*

L

*

T

*

50

*

0.02

*

2

* *

b 7

= -

50 21.36 4.706 32.94

*

L

*

T

*

50

*

0.05

*

2

* *

b 7

= -

25 18.63

*

L

*

T

=

V

= = = = =

1 2 0.36 0.71 A 0.71 4.97

*

25

*

2

* *

b 7

*

0.03

a. Galian atau cembung 1. Patok (P3 - P5) Dik: L = 100 = T = 21.50 = 0.11 b = 7 penye: 1 A = * 2 1 = * 2 = 2.6786 * = 5.36 V = A * = 5.36 * = 37.5 2. Patok (P41 - P43) Dik: L = 50 = T = 20.41 = 0.08 b = 7 penye: 1 A = * 2 1 = * 2 = 1.0243 * = 2.05 V = A * = 2.05 * = 14.34 3. Patok (P49 - P51) Dik: L = 100 T = 19.80 = 0.04 b = 7 penye: 1 A = 2

50 21.39

L

*

T

50

*

0.11

L

*

T

25

*

0.08

*

T

2 b 7

25 20.33

2 b 7

= -

50 19.76

*

L

9.41 65.9

=

V

= = = = =

1 2 1.00 2.01 A 2.01 14.046

*

50

*

2

* *

b 7

*

0.04

Tabel 3.1 Rekapitulasi Perhitungan PERHITUNGAN TINGGI TITIK STASIUN

Pn = Kt

PERHITUNGAN BEDA TINGGI

+ (x/y) . Ik

Dimana : Pn = Tinggi titik Stasiun ke - n Kt = Tinggi Kontur Terendah x = Jarak stasiun dengan kontur terendah y = Jarak antara kontur terendah dan tertinggi Ik = Nilai interval kontur

No Stasiun (Pn)

Jarak STA (m)

Lengkung Horisontal R (m) Sudut (p) L(m)

P0

KM = (BT/Jarak stasiun) x 100 %

Dimana : BT = Beda Tinggi (m) Pn akhir = Tinggi Stasiun Akhir (m) Pn awal = Tinggi Stasiun awal (m)

Dimana : KM = Kemiringan (%) BT = Beda Tinggi (m)

Kt

X

Y

Interval

Jarak Langsung (m)

23.50

0

0.2

0.5

200

23.90

0.4

0.6

0.5

300

Kontur

200 P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11 P12 P13 P14 P15 P16 P17 P18 P19 P20 P21 P22 P23 P24 P25 P26

100 100 100

480

60

100 200 100 100 100

500

60

250

100 100 100 200 200 100 100

520

45

260

100 100 200 200 100 100 100 100 200

530

45

24.10

0.9

1.1

0.5

400

24.20

1.3

1.5

0.5

500

24.30

0.8

1

0.5

600

240

100

265

24.35

0.2

0.4

0.5

700

24.40

0.7

0.9

0.5

900

24.60

1.1

1.3

0.5

1000

24.75

1.6

1.8

0.5

1100

24.80

2

2.2

0.5

1200

25.25

1.7

1.9

0.5

1300

25.75

1.3

1.5

0.5

1400

25.55

0.6

0.8

0.5

1500

25.65

1.2

1.4

0.5

1700

25.80

1.9

2.1

0.5

1900

25.90

2.3

2.5

0.5

2000

26.00

2.8

3

0.5

2100

26.05

2.4

2.6

0.5

2200

26.10

1.5

1.7

0.5

2300

26.20

2.1

2.3

0.5

2500

26.20

2.6

2.8

0.5

2700

26.35

2.2

2.4

0.5

2800

26.40

1.7

2.1

0.5

2900

26.40

1.5

1.7

0.5

3000

26.45

0.6

0.8

0.5

3100

26.75

0.1

0.3

0.5

3300

27.75

0

0.2

0.5

3500

200 P27

27.65

0

0.1

0.5

3600

27.00

0

0.2

0.5

3600

100 P28

PERHITUNGAN KEMIRIGAN

BT = Pn akhir - Pn awal

Tinggi Stasiun (m)

Kemiringan (%)

Jarak Sta 100 Beda Tinggi (m) Keterangan

23.50

0.37

0.73

24.23

0.28

0.28

24.51

0.12

0.12

24.63

0.07

0.07

24.70

-0.10

-0.10

24.60

0.19

0.19

24.79

0.12

0.23

25.02

0.17

0.17

25.19

0.06

0.06

25.25

0.44

0.44

25.70

0.49

0.49

26.18

-0.26

-0.26

25.93

0.15

0.15

26.08

0.09

0.17

26.25

0.05

0.11

26.36

0.11

0.11

26.47

0.04

0.04

26.51

0.03

0.03

26.54

0.12

0.12

26.66

0.00

0.01

26.66

0.07

0.14

26.81

0.00

0.00

26.80

0.04

0.04

26.84

-0.02

-0.02

26.83

0.09

0.09

26.92

0.42

0.83

27.75

-0.05

-0.10

-0.65 0.00

-0.65 0.00

27.65 27.00

tikungan 1 Kelandaian (%)

24.70

- 24.23 240

x

100

0.19 (datar)

%

jalan kelas II A (lihat tabel perencanaan geometrik) kecepatan rencana : 90 Km/Jam Jari -Jari rencana minimum : 480 m tikungan 2 Kelandaian (%)

26.18

- 25.02 250

x

100

0.46 (datar)

%

jalan kelas II A (lihat tabel perencanaan geometrik) kecepatan rencana : 90 Km/Jam Jari -Jari rencana minimum : 500 m tikungan 3 Kelandaian (%)

26.54

- 26.36 260

x

100

0.07 (datar)

%

jalan kelas II A (lihat tabel perencanaan geometrik) kecepatan rencana : 90 Km/Jam Jari -Jari rencana minimum : 520 m tikungan 4 Kelandaian (%)

26.84

- 26.80 265

x

100

0.01 (datar)

jalan kelas II A (lihat tabel perencanaan geometrik) kecepatan rencana : 90 Km/Jam Jari -Jari rencana minimum : 530 m

%

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